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312743412 = 22328687317
BaseRepresentation
bin10010101001000…
…001010111110100
3210210111000022100
4102221001113310
51120030242122
651011102100
710515163242
oct2251012764
9723430270
10312743412
11150598833
12888a1930
134ca40297
142d76d792
151c6c9aac
hex12a415f4

312743412 has 18 divisors (see below), whose sum is σ = 790545938. Its totient is φ = 104247792.

The previous prime is 312743399. The next prime is 312743413. The reversal of 312743412 is 214347213.

It is a happy number.

312743412 is a `hidden beast` number, since 312 + 7 + 4 + 341 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 309900816 + 2842596 = 17604^2 + 1686^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×3127434123 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312743413) 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 5 ways as a sum of consecutive naturals, for example, 4343623 + ... + 4343694.

Almost surely, 2312743412 is an apocalyptic number.

It is an amenable number.

312743412 is an abundant number, since it is smaller than the sum of its proper divisors (477802526).

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

312743412 is a wasteful number, since it uses less digits than its factorization.

312743412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687327 (or 8687322 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 312743412 is about 17684.5529205575. The cubic root of 312743412 is about 678.7805509076.

The spelling of 312743412 in words is "three hundred twelve million, seven hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 8687317 17374634 26061951 34749268 52123902 78185853 104247804 156371706 312743412