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313012008 = 233237117497
BaseRepresentation
bin10010101010000…
…010111100101000
3210210222122202100
4102222002330220
51120112341013
651020533400
710520362311
oct2252027450
9723878670
10313012008
11150761611
12889b1260
134cb0560a
142d7dd608
151c72e473
hex12a82f28

313012008 has 48 divisors (see below), whose sum is σ = 870660180. Its totient is φ = 101516544.

The previous prime is 313012001. The next prime is 313012019. The reversal of 313012008 is 800210313.

It can be written as a sum of positive squares in 2 ways, for example, as 308423844 + 4588164 = 17562^2 + 2142^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313012001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56085 + ... + 61412.

Almost surely, 2313012008 is an apocalyptic number.

It is an amenable number.

313012008 is an abundant number, since it is smaller than the sum of its proper divisors (557648172).

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

313012008 is a wasteful number, since it uses less digits than its factorization.

313012008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117546 (or 117539 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 313012008 is about 17692.1453758440. The cubic root of 313012008 is about 678.9748162008.

The spelling of 313012008 in words is "three hundred thirteen million, twelve thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 117497 234994 352491 469988 704982 939976 1057473 1409964 2114946 2819928 4229892 4347389 8459784 8694778 13042167 17389556 26084334 34779112 39126501 52168668 78253002 104337336 156506004 313012008