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312687012 = 223112639007
BaseRepresentation
bin10010101000110…
…011100110100100
3210210101010221110
4102220303212210
51120021441022
651005545020
710514536641
oct2250634644
9723333843
10312687012
1115055a420
1288875170
134ca20701
142d756dc8
151c6b800c
hex12a339a4

312687012 has 48 divisors (see below), whose sum is σ = 799045632. Its totient is φ = 94382880.

The previous prime is 312686999. The next prime is 312687031. The reversal of 312687012 is 210786213.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30213 + ... + 39219.

It is an arithmetic number, because the mean of its divisors is an integer number (16646784).

Almost surely, 2312687012 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 312687012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399522816).

312687012 is an abundant number, since it is smaller than the sum of its proper divisors (486358620).

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

312687012 is a wasteful number, since it uses less digits than its factorization.

312687012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 312687012 is about 17682.9582366752. The cubic root of 312687012 is about 678.7397447993.

The spelling of 312687012 in words is "three hundred twelve million, six hundred eighty-seven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 263 526 789 1052 1578 2893 3156 5786 8679 9007 11572 17358 18014 27021 34716 36028 54042 99077 108084 198154 297231 396308 594462 1188924 2368841 4737682 7106523 9475364 14213046 26057251 28426092 52114502 78171753 104229004 156343506 312687012