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310996164 = 223173893919
BaseRepresentation
bin10010100010010…
…110110011000100
3210200012020112110
4102202112303010
51114103334124
650505421020
710464265233
oct2242266304
9720166473
10310996164
1114a605026
128819a770
134c57abcb
142d436b1a
151c482029
hex12896cc4

310996164 has 48 divisors (see below), whose sum is σ = 770515200. Its totient is φ = 97291776.

The previous prime is 310996159. The next prime is 310996183. The reversal of 310996164 is 461699013.

It is a super-2 number, since 2×3109961642 = 193437228045429792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77397 + ... + 81315.

It is an arithmetic number, because the mean of its divisors is an integer number (16052400).

Almost surely, 2310996164 is an apocalyptic number.

310996164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310996164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385257600).

310996164 is an abundant number, since it is smaller than the sum of its proper divisors (459519036).

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

310996164 is a wasteful number, since it uses less digits than its factorization.

310996164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 310996164 is about 17635.0833284110. The cubic root of 310996164 is about 677.5141096266.

The spelling of 310996164 in words is "three hundred ten million, nine hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 389 778 1167 1556 2334 3919 4668 6613 7838 11757 13226 15676 19839 23514 26452 39678 47028 66623 79356 133246 199869 266492 399738 799476 1524491 3048982 4573473 6097964 9146946 18293892 25916347 51832694 77749041 103665388 155498082 310996164