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134338314 = 231123147127
BaseRepresentation
bin10000000000111…
…01011100001010
3100100210002112010
420000131130022
5233342311224
621155200350
73220566615
oct1000353412
9310702463
10134338314
1169915400
1238ba60b6
1321aa7336
1413bad17c
15bbd8e29
hex801d70a

134338314 has 96 divisors (see below), whose sum is σ = 313786368. Its totient is φ = 38253600.

The previous prime is 134338313. The next prime is 134338327. The reversal of 134338314 is 413833431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134338313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057719 + ... + 1057845.

It is an arithmetic number, because the mean of its divisors is an integer number (3268608).

Almost surely, 2134338314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134338314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156893184).

134338314 is an abundant number, since it is smaller than the sum of its proper divisors (179448054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134338314 is a wasteful number, since it uses less digits than its factorization.

134338314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 134338314 is about 11590.4406301055. The cubic root of 134338314 is about 512.1532871311.

The spelling of 134338314 in words is "one hundred thirty-four million, three hundred thirty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 47 62 66 93 94 121 127 141 186 242 254 282 341 363 381 517 682 726 762 1023 1034 1397 1457 1551 2046 2794 2914 3102 3751 3937 4191 4371 5687 5969 7502 7874 8382 8742 11253 11374 11811 11938 15367 16027 17061 17907 22506 23622 30734 32054 34122 35814 43307 46101 48081 65659 86614 92202 96162 129921 131318 176297 185039 196977 259842 352594 370078 393954 476377 528891 555117 722249 952754 1057782 1110234 1429131 1444498 2035429 2166747 2858262 4070858 4333494 6106287 12212574 22389719 44779438 67169157 134338314