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312112832 = 265982657
BaseRepresentation
bin10010100110100…
…111011011000000
3210202021222022112
4102212213123000
51114400102312
650545354452
710506625643
oct2246473300
9722258275
10312112832
111501a7a99
1288638a28
134c87c265
142d647a5a
151c602d22
hex129a76c0

312112832 has 28 divisors (see below), whose sum is σ = 629853960. Its totient is φ = 153409536.

The previous prime is 312112831. The next prime is 312112841. The reversal of 312112832 is 238211213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312112798 and 312112807.

It is not an unprimeable number, because it can be changed into a prime (312112831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37553 + ... + 45104.

Almost surely, 2312112832 is an apocalyptic number.

312112832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312112832 is an abundant number, since it is smaller than the sum of its proper divisors (317741128).

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

312112832 is an equidigital number, since it uses as much as digits as its factorization.

312112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82728 (or 82718 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 312112832 is about 17666.7153710020. The cubic root of 312112832 is about 678.3240388278.

It can be divided in two parts, 31211 and 2832, that added together give a palindrome (34043).

The spelling of 312112832 in words is "three hundred twelve million, one hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1888 3776 82657 165314 330628 661256 1322512 2645024 4876763 5290048 9753526 19507052 39014104 78028208 156056416 312112832