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312756132 = 22313311863
BaseRepresentation
bin10010101001000…
…100011110100100
3210210111122202110
4102221010132210
51120031144012
651011241020
710515245313
oct2251043644
9723448673
10312756132
111505a7347
12888a9170
134ca46000
142d77427a
151c6cd73c
hex12a447a4

312756132 has 48 divisors (see below), whose sum is σ = 790616960. Its totient is φ = 96224544.

The previous prime is 312756121. The next prime is 312756137. The reversal of 312756132 is 231657213.

It is a self number, because there is not a number n which added to its sum of digits gives 312756132.

It is not an unprimeable number, because it can be changed into a prime (312756137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20433 + ... + 32295.

Almost surely, 2312756132 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 312756132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395308480).

312756132 is an abundant number, since it is smaller than the sum of its proper divisors (477860828).

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

312756132 is a wasteful number, since it uses less digits than its factorization.

312756132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11909 (or 11881 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 312756132 is about 17684.9125527948. The cubic root of 312756132 is about 678.7897533093.

The spelling of 312756132 in words is "three hundred twelve million, seven hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 2197 4394 6591 8788 11863 13182 23726 26364 35589 47452 71178 142356 154219 308438 462657 616876 925314 1850628 2004847 4009694 6014541 8019388 12029082 24058164 26063011 52126022 78189033 104252044 156378066 312756132