300 (number)
It has been suggested that 325 (number) be merged into this article. (Discuss) Proposed since June 2026. |
It has been suggested that 377 (number) be merged into this article. (Discuss) Proposed since June 2026. |
It has been suggested that 359 (number) be merged into this article. (Discuss) Proposed since June 2026. |
It has been suggested that 318 (number) be merged into this article. (Discuss) Proposed since June 2026. |
| ||||
|---|---|---|---|---|
| Cardinal | three hundred | |||
| Ordinal | 300th (three hundredth) | |||
| Factorization | 22 × 3 × 52 | |||
| Greek numeral | Τ´ | |||
| Roman numeral | CCC, ccc | |||
| Binary | 1001011002 | |||
| Ternary | 1020103 | |||
| Senary | 12206 | |||
| Octal | 4548 | |||
| Duodecimal | 21012 | |||
| Hexadecimal | 12C16 | |||
| Hebrew | ש | |||
| Armenian | Յ | |||
| Babylonian cuneiform | 𒐙 | |||
| Egyptian hieroglyph | 𓍤 | |||
300 (three hundred) is the natural number following 299 and preceding 301.
In mathematics
[edit]300 is a composite number and the 24th triangular number.[1] It is also a second hexagonal number.[2]
Integers from 301 to 399
[edit]300s
[edit]301
[edit]302
[edit]303
[edit]304
[edit]305
[edit]306
[edit]307
[edit]308
[edit]309
[edit]310s
[edit]310
[edit]311
[edit]312
[edit]313
[edit]314
[edit]315
[edit]316
[edit]317
[edit]317 is a prime number, an Eisenstein prime with no imaginary part, a Chen prime,[3] one of the rare primes to be both right and left-truncatable,[4] and a strictly non-palindromic number.[5]
317 is the exponent (and number of ones) in the fourth base-10 repunit prime.[6]
318
[edit]319
[edit]319 = 11 × 29. It is a Smith number[7] and a happy number in base 10.[8] It cannot be represented as the sum of fewer than 19 fourth powers. It is the sum of three consecutive primes (103 + 107 + 109).
320s
[edit]320
[edit]320 = 26 × 5 = (25) × (2 × 5). It is a Leyland number,[9] and the maximum determinant of a 10 by 10 matrix of zeros and ones.[10]
321
[edit]321 = 3 × 107. It is a Delannoy number[11]
322
[edit]322 = 2 × 7 × 23. It is a sphenic,[12] a nontotient, an untouchable number,[13] and a Lucas number.[14] It is also the first unprimeable number to end in 2.
323
[edit]324
[edit]324 = 22 × 34 = 182. It is the totient sum of the first 32 integers[15], a square number,[16] and an untouchable number.[13] It is the sum of four consecutive primes (73 + 79 + 83 + 89).
325
[edit]326
[edit]326 = 2 × 163. It is a nontotient, a noncototient,[17] an untouchable number,[13] and a lazy caterer number.[18] It is the sum of the 14 consecutive primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).
327
[edit]327 = 3 × 109. It is a perfect totient number.[19] There are 327 compositions of 10 whose run-lengths are either weakly increasing or weakly decreasing.[20]
328
[edit]328 = 23 × 41. It is a refactorable number.[21] It is the sum of the first fifteen primes (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).[22]
329
[edit]329 = 7 × 47. It is a highly cototient number.[23] 329 is the sum of three consecutive primes (107 + 109 + 113).
330s
[edit]330
[edit]330 = 2 × 3 × 5 × 11. It is a pentatope number (a binomial coefficient )[24], a pentagonal number,[25] and a sparsely totient number.[26] It is sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67).
331
[edit]331 is a prime number, a super-prime,[27] a cuban prime,[28] a lucky prime,[29] a centered pentagonal number,[30] a centered hexagonal number,[31] and a zero of Mertens function.[32] It is the sum of five consecutive primes (59 + 61 + 67 + 71 + 73).
332
[edit]332 = 22 × 83. It is a zero of Mertens function.[32]
333
[edit]333 = 32 × 37. It is a zero of Mertens function[32] and a repdigit.[33]
2333 is the smallest power of two greater than a googol.
334
[edit]334 = 2 × 167. It is a nontotient.[34]
335
[edit]335 = 5 × 67. There are 335 Lyndon words of length 12.[35]
336
[edit]336 = 24 × 3 × 7. It is an untouchable number,[13] and a largely composite number.[36] There are 336 partitions of 41 into prime parts.[37]
337
[edit]337 is a prime number, an emirp,[38] a permutable prime with 373 and 733,[39] and a Chen prime.[3]
338
[edit]338 = 2 × 132. It is a nontotient. There are 338 square (0,1)-matrices without zero rows and with exactly 4 entries equal to 1.[40]
339
[edit]339 = 3 × 113. It is an Ulam number.[41]
340s
[edit]340
[edit]340 = 22 × 5 × 17. It is a noncototient[17] and a nontotient.
It is the sum of the first four powers of 4 (41 + 42 + 43 + 44), the sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), and the sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53).
There are 340 regions formed by drawing the line segments connecting any two of the 12 perimeter points of a 3 times 3 grid of squares (sequence A331452 in the OEIS) and (sequence A255011 in the OEIS). [clarification needed]
341
[edit]342
[edit]342 = 2 × 32 × 19. It is a pronic number,[42] and an untouchable number.[13]
343
[edit]343 = 73, the first nice Friedman number that is composite since 343 = (3 + 4)3.[43] It is the only known example of x2+x+1 = y3, in this case, x=18, y=7. It is z3 in a triplet (x,y,z) such that x5 + y2 = z3.
344
[edit]344 = 23 × 43. It is an octahedral number,[44] a noncototient,[17] a refactorable number,[21] and the totient sum of the first 33 integers.[15]
345
[edit]345 = 3 × 5 × 23. It is a sphenic number[12] and an idoneal number.[45]
346
[edit]346 = 2 × 173. It is a Smith number[7] and a noncototient.[17]
347
[edit]347 is a prime number, an emirp,[46] a safe prime,[47] an Eisenstein prime with no imaginary part, a Chen prime,[3] a twin prime with 349,[48] a strictly non-palindromic number,[49] and a Friedman prime since 347 = 73 + 4.[50]
348
[edit]348 = 22 × 3 × 29. It is a refactorable number.[21] It is the sum of four consecutive primes (79 + 83 + 89 + 97).
349
[edit]349 is a prime number, a twin prime with 347,[51] and a lucky prime.[52] It is the sum of three consecutive primes (109 + 113 + 127).
5349 - 4349 is a prime number.[53]
350s
[edit]350
[edit]350 = 2 × 52 × 7. It is a primitive semiperfect number[54] and a nontotient. A truncated icosahedron of frequency 6 has 350 hexagonal faces and 12 pentagonal faces.
350= [clarification needed]
351
[edit]351 = 33 × 13. It is a member of the Padovan sequence[55] and the 26th triangular number.[56] It is the sum of five consecutive primes (61 + 67 + 71 + 73 + 79). There are 351 compositions of 15 into distinct parts.[57]
It is the international calling code for Portugal.[58]
352
[edit]352 = 25 × 11. There are 352 n-Queens Problem solutions for n = 9.[59] It is a lazy caterer number[18] and the sum of two consecutive primes (173 + 179).
It is the international calling code for Luxembourg.[60]
353
[edit]354
[edit]354 = 2 × 3 × 59 = 14 + 24 + 34 + 44.[61][62] It is a sphenic number[12] and a nontotient. It is also sum of absolute value of the coefficients of Conway's polynomial.[63]
It is the SMTP code meaning start of mail input[64] and the international calling code for Iceland.[65]
355
[edit]355 = 5 × 71. It is a Smith number[7] and a zero of Mertens function.[32] The cototient of 355 is 75,[66] where 75 is the product of its digits (3 x 5 x 5 = 75).
It is the numerator of, 355/113, the best simplified rational approximation of pi having a denominator of four digits or fewer, known as Milü.
356
[edit]356 = 22 × 89. It is a zero of Mertens function.[32]
357
[edit]357 = 3 × 7 × 17. It is a sphenic number.[12]
358
[edit]358 = 2 × 179. It is a zero of Mertens function[32] and the sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71). There are 358 ways to partition {1,2,3,4,5} and then partition each cell (block) into subcells.[67][better source needed]
It is the international calling code for Finland.[68]
359
[edit]360s
[edit]360
[edit]361
[edit]361 = 192. 361 is a centered triangular number,[69] a centered octagonal number,[70] a centered decagonal number[71] and a member of the Mian–Chowla sequence.[72] There are 361 intersections on a standard 19 x 19 Go board.[73]
362
[edit]362 = 2 × 181. It is a zero of Mertens function,[32] a nontotient, a noncototient.[17]
362= σ2(19), the sum of squares of divisors of 19.[74]
363
[edit]364
[edit]364 = 22 × 7 × 13. It is a tetrahedral number,[75] a zero of Mertens function,[32] a nontotient and the sum of twelve consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53),
It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44).
365
[edit]366
[edit]366 = 2 × 3 × 61. It is a sphenic number,[12] a zero of Mertens function,[32] a noncototient,[17] a 26-gonal number,[76] and a 123-gonal number.[77] There are 366 complete partitions of 20.[78]
There are 366 days in a leap year.[79]
367
[edit]367 is a prime number, a lucky prime,[29] a Perrin number,[80] a happy number in base 10, a prime index prime[81] and a strictly non-palindromic number.[82]
368
[edit]368 = 24 × 23. It is a Leyland number.[9]
369
[edit]370s
[edit]370
[edit]370 = 2 × 5 × 37. It is a sphenic number,[12] a nontotient and a Base 10 Armstrong number since 33 + 73 + 03 = 370.[83] It forms a Ruth–Aaron pair with only distinct prime factors counted with 369.[84] It is the sum of four consecutive primes (83 + 89 + 97 + 101).
371
[edit]371 = 7 × 53. It is an Armstrong number since 33 + 73 + 13 = 371.[85] It is the sum of the primes from its least to its greatest prime factor, the next such composite number is 2935561623745.[86] It is the sum of three consecutive primes (113 + 127 + 131) and the sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67).
372
[edit]372 = 22 × 3 × 31. It is a noncototient,[17] an untouchable number,[13] and a refactorable number.[21] It is the sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61).
373
[edit]373 is a prime number, a balanced prime,[87] a right and left-truncatable (two-sided prime),[4] a sexy prime with 367 and 379,[88] a permutable prime with 337 and 733[89] Itis also a palindromic prime in 3 consecutive bases: 5658 = 4549 = 37310 and also in base 4: 113114. It is the sum of five consecutive primes (67 + 71 + 73 + 79 + 83).
374
[edit]374 = 2 × 11 × 17. It is a sphenic number[12] and a nontotient. 3744 + 1 is prime.[90]
375
[edit]375 = 3 × 53. There are 375 regions in regular 11-gon with all diagonals drawn.[91]
376
[edit]376 = 23 × 47. It is a pentagonal number,[25] a 1-automorphic number,[92] a nontotient, and a refactorable number.[21]
377
[edit]378
[edit]378 = 2 × 33 × 7. It is a cake number,[93] a hexagonal number,[94] and a Smith number.[7] It is the 27th triangular number.[95]
379
[edit]379 is a prime number, a Chen prime,[3] a lazy caterer number[18] and a happy number in base 10. It is the sum of the first 15 odd primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53). 379! - 1 is prime.
380s
[edit]380
[edit]380 = 22 × 5 × 19. It is a pronic number.[42] There are 380 regions when a figure made up of a row of 6 adjacent congruent rectangles is divided by drawing the diagonals of all possible rectangles.[96]
381
[edit]381 = 3 × 127. It is palindromic in base 2 and base 8.
381 is the sum of the first 16 prime numbers (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53).[97]
382
[edit]382 = 2 × 191. It is a Smith number.[7] It is the sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59).
383
[edit]383 is a prime number, a safe prime,[47] a Woodall prime,[98] a Thabit number[99], an Eisenstein prime with no imaginary part and a palindromic prime.[100] It is also the first number where the sum of a prime and the reversal of the prime is also a prime.[101] 4383 - 3383 is prime.[102]
384
[edit]385
[edit]385 = 5 × 7 × 11. It is a sphenic number[12] and a square pyramidal number.[103] There are 385 integer partitions of 18.[104]
385 = 102 + 92 + 82 + 72 + 62 + 52 + 42 + 32 + 22 + 12
386
[edit]386 = 2 × 193. It is a nontotient, a noncototient,[17] and a centered heptagonal number.[105] There are 388 surface points on a cube with edge-length 9.[106]
387
[edit]387 = 32 × 43. There are 387 graphical partitions of 22.[107]
388
[edit]388 = 22 × 97. It is the solution to postage the stamp problem with 6 stamps and 6 denominations.[108] There are 388 uniform rooted trees with 10 nodes.[109]
389
[edit]389 is a prime number, an emirp,[110] an Eisenstein prime with no imaginary part, a Chen prime,[3] a highly cototient number,[23] a strictly non-palindromic number.[111] It is the smallest conductor of a rank 2 Elliptic curve.
390s
[edit]390
[edit]390 = 2 × 3 × 5 × 13. It is a nontotient and the sum of four consecutive primes (89 + 97 + 101 + 103).
- is prime[112]
391
[edit]391 = 17 × 23. It is a Smith number[7] and a centered pentagonal number.[30]
392
[edit]392 = 23 × 72. It is an Achilles number.[113]
393
[edit]393 = 3 × 131. It is a Blum integer and a zero of Mertens function.[32]
394
[edit]394 = 2 × 197 = S5 It is a Schröder number,[114] a nontotient, and a noncototient.[17]
395
[edit]395 = 5 × 79. There are 395 (unordered, unlabeled) rooted trimmed trees with 11 nodes.[115]
395 is sum of three consecutive primes (127 + 131 + 137) and the sum of five consecutive primes (71 + 73 + 79 + 83 + 89).
396
[edit]396 = 22 × 32 × 11. It is the sum of twin primes (197 + 199), the totient sum of the first 36 integers, a refactorable number,[21] a Harshad number and a digit-reassembly number.
397
[edit]397 is a prime number, a cuban prime,[28] and a centered hexagonal number.[31]
398
[edit]398 = 2 × 199. It is a nontotient.
- is prime[112]
399
[edit]399 = 3 × 7 × 19=. It is a sphenic number,[12] a Leyland number of the second kind,[116]and the smallest Lucas–Carmichael number.[117]
399! + 1 is prime.
399 is the largest number whose base 10 digit sum is larger than the square root of the number: 3 + 9 + 9 = 21, which is larger than 19.975.
References
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- ^ Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers (or triangular pyramidal))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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- ^ Sloane, N. J. A. (ed.). "Sequence A001608 (Perrin sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A006450 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ "A016038 - OEIS". oeis.org. Retrieved 2026-06-22.
- ^ "A005188 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ "A006145 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ "A005188 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ Sloane, N. J. A. (ed.). "Sequence A055233 (Composite numbers equal to the sum of the primes from their smallest prime factor to their largest prime factor)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A006562 (Balanced primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A046119 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ "A003459 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ Sloane, N. J. A. (ed.). "Sequence A000068 (Numbers k such that k^4 + 1 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A007678 (Number of regions in regular n-gon with all diagonals drawn)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A003226 (Automorphic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A000217 - OEIS". oeis.org. Retrieved 2024-11-28.
- ^ Sloane, N. J. A. (ed.). "Sequence A000384 (Hexagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A000217 - OEIS". oeis.org. Retrieved 2024-11-28.
- ^ Sloane, N. J. A. (ed.). "Sequence A306302 (Number of regions into which a figure made up of a row of n adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A007504 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ Sloane, N. J. A. (ed.). "Sequence A050918 (Woodall primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A055010 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ "A002385 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ Sloane, N. J. A. (ed.). "Sequence A072385 (Primes which can be represented as the sum of a prime and its reverse)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A059801 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A000041 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ Sloane, N. J. A. (ed.). "Sequence A069099 (Centered heptagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A005897 (a(n) = 6*n^2 + 2 for n > 0, a(0)=1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000569 (Number of graphical partitions of 2n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A084192 (Array read by antidiagonals: T(n,k) = solution to postage stamp problem with n stamps and k denominations (n >= 1, k >= 1))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A317712 (Number of uniform rooted trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A006567 - OEIS". oeis.org. Retrieved 2026-06-22.
- ^ "A016038 - OEIS". oeis.org. Retrieved 2026-06-22.
- ^ a b Sloane, N. J. A. (ed.). "Sequence A162862 (Numbers n such that n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A052486 - OEIS". oeis.org. Retrieved 2026-06-23.
- ^ Sloane, N. J. A. (ed.). "Sequence A006318 (Large Schröder numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A002955 (Number of (unordered, unlabeled) rooted trimmed trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A045575 (Leyland numbers of the second kind)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A006972 - OEIS". oeis.org. Retrieved 2026-06-23.