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312368264 = 231315119891
BaseRepresentation
bin10010100111100…
…101110010001000
3210202202221200222
4102213211302020
51114431241024
650555045212
710512041435
oct2247456210
9722687628
10312368264
1115036199a
1288740808
134c93b5c0
142d6b2b8c
151c65385e
hex129e5c88

312368264 has 32 divisors (see below), whose sum is σ = 634952640. Its totient is φ = 143208000.

The previous prime is 312368261. The next prime is 312368269. The reversal of 312368264 is 462863213.

It is not an unprimeable number, because it can be changed into a prime (312368261) 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 7 ways as a sum of consecutive naturals, for example, 5759 + ... + 25649.

It is an arithmetic number, because the mean of its divisors is an integer number (19842270).

Almost surely, 2312368264 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 312368264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317476320).

312368264 is an abundant number, since it is smaller than the sum of its proper divisors (322584376).

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

312368264 is a wasteful number, since it uses less digits than its factorization.

312368264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20061 (or 20057 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 312368264 is about 17673.9430801392. The cubic root of 312368264 is about 678.5090343412.

The spelling of 312368264 in words is "three hundred twelve million, three hundred sixty-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 151 302 604 1208 1963 3926 7852 15704 19891 39782 79564 159128 258583 517166 1034332 2068664 3003541 6007082 12014164 24028328 39046033 78092066 156184132 312368264