Search a number
-
+
312921804 = 2231313914431
BaseRepresentation
bin10010101001101…
…100111011001100
3210210211002000110
4102221230323030
51120101444204
651015000020
710516535316
oct2251547314
9723732013
10312921804
111506aa868
1288969010
134caa3540
142d7b87b6
151c712889
hex12a6cecc

312921804 has 48 divisors (see below), whose sum is σ = 792028160. Its totient is φ = 95584320.

The previous prime is 312921797. The next prime is 312921823. The reversal of 312921804 is 408129213.

It is a super-2 number, since 2×3129218042 = 195840110837228832, 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, 14469 + ... + 28899.

Almost surely, 2312921804 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 312921804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396014080).

312921804 is an abundant number, since it is smaller than the sum of its proper divisors (479106356).

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

312921804 is a wasteful number, since it uses less digits than its factorization.

312921804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14590 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 312921804 is about 17689.5959252890. The cubic root of 312921804 is about 678.9095874694.

The spelling of 312921804 in words is "three hundred twelve million, nine hundred twenty-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 278 417 556 834 1668 1807 3614 5421 7228 10842 14431 21684 28862 43293 57724 86586 173172 187603 375206 562809 750412 1125618 2005909 2251236 4011818 6017727 8023636 12035454 24070908 26076817 52153634 78230451 104307268 156460902 312921804