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312416364 = 223132002669
BaseRepresentation
bin10010100111110…
…001100001101100
3210202212101200110
4102213301201230
51114434310424
651000100020
710512331611
oct2247614154
9722771613
10312416364
11150395047
1288764610
134c957470
142d6c6508
151c662c29
hex129f186c

312416364 has 24 divisors (see below), whose sum is σ = 785046640. Its totient is φ = 96128064.

The previous prime is 312416347. The next prime is 312416381. The reversal of 312416364 is 463614213.

312416364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312416347) and next prime (312416381).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001179 + ... + 1001490.

Almost surely, 2312416364 is an apocalyptic number.

It is an amenable number.

312416364 is an abundant number, since it is smaller than the sum of its proper divisors (472630276).

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

312416364 is a wasteful number, since it uses less digits than its factorization.

312416364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002689 (or 2002687 counting only the distinct ones).

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

The square root of 312416364 is about 17675.3037880541. The cubic root of 312416364 is about 678.5438592720.

The spelling of 312416364 in words is "three hundred twelve million, four hundred sixteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2002669 4005338 6008007 8010676 12016014 24032028 26034697 52069394 78104091 104138788 156208182 312416364