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313123068 = 2232174112479
BaseRepresentation
bin10010101010011…
…110000011111100
3210211012022002200
4102222132003330
51120124414233
651023151500
710521334146
oct2252360374
9724168080
10313123068
11150827aa5
1288a45590
134cb4402b
142d82bc96
151c752313
hex12a9e0fc

313123068 has 72 divisors (see below), whose sum is σ = 858574080. Its totient is φ = 95831040.

The previous prime is 313123067. The next prime is 313123079. The reversal of 313123068 is 860321313.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313123067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18853 + ... + 31331.

It is an arithmetic number, because the mean of its divisors is an integer number (11924640).

Almost surely, 2313123068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313123068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040).

313123068 is an abundant number, since it is smaller than the sum of its proper divisors (545451012).

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

313123068 is a wasteful number, since it uses less digits than its factorization.

313123068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12547 (or 12542 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 313123068 is about 17695.2837784535. The cubic root of 313123068 is about 679.0551092082.

The spelling of 313123068 in words is "three hundred thirteen million, one hundred twenty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6273 8364 12479 12546 24958 25092 37437 49916 74874 112311 149748 212143 224622 424286 449244 511639 636429 848572 1023278 1272858 1534917 1909287 2046556 2545716 3069834 3818574 4604751 6139668 7637148 8697863 9209502 17395726 18419004 26093589 34791452 52187178 78280767 104374356 156561534 313123068