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313020096 = 26310914957
BaseRepresentation
bin10010101010000…
…100111011000000
3210211000001211220
4102222010323000
51120113120341
651021035040
710520425014
oct2252047300
9724001756
10313020096
111507676a4
12889b5a80
134cb091bc
142d802544
151c731a66
hex12a84ec0

313020096 has 56 divisors (see below), whose sum is σ = 835853040. Its totient is φ = 103375872.

The previous prime is 313020083. The next prime is 313020119. The reversal of 313020096 is 690020313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13450 + ... + 28406.

Almost surely, 2313020096 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 313020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417926520).

313020096 is an abundant number, since it is smaller than the sum of its proper divisors (522832944).

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

313020096 is a wasteful number, since it uses less digits than its factorization.

313020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15081 (or 15071 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 313020096 is about 17692.3739503776. The cubic root of 313020096 is about 678.9806642203.

The spelling of 313020096 in words is "three hundred thirteen million, twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1308 1744 2616 3488 5232 6976 10464 14957 20928 29914 44871 59828 89742 119656 179484 239312 358968 478624 717936 957248 1435872 1630313 2871744 3260626 4890939 6521252 9781878 13042504 19563756 26085008 39127512 52170016 78255024 104340032 156510048 313020096