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313012032 = 2631938447
BaseRepresentation
bin10010101010000…
…010111101000000
3210210222122210020
4102222002331000
51120112341112
651020533440
710520362344
oct2252027500
9723878706
10313012032
11150761633
12889b1280
134cb05628
142d7dd624
151c72e48c
hex12a82f40

313012032 has 56 divisors (see below), whose sum is σ = 832567296. Its totient is φ = 103784448.

The previous prime is 313012027. The next prime is 313012039. The reversal of 313012032 is 230210313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313012039) by changing a digit.

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, 32833 + ... + 41279.

Almost surely, 2313012032 is an apocalyptic number.

313012032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416283648).

313012032 is an abundant number, since it is smaller than the sum of its proper divisors (519555264).

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

313012032 is a wasteful number, since it uses less digits than its factorization.

313012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8655 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313012032 is about 17692.1460541111. The cubic root of 313012032 is about 678.9748335541.

Adding to 313012032 its reverse (230210313), we get a palindrome (543222345).

It can be divided in two parts, 31301 and 2032, that added together give a palindrome (33333).

The spelling of 313012032 in words is "three hundred thirteen million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 386 579 772 1158 1544 2316 3088 4632 6176 8447 9264 12352 16894 18528 25341 33788 37056 50682 67576 101364 135152 202728 270304 405456 540608 810912 1621824 1630271 3260542 4890813 6521084 9781626 13042168 19563252 26084336 39126504 52168672 78253008 104337344 156506016 313012032