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312492912 = 243171133389
BaseRepresentation
bin10010101000000…
…100001101110000
3210210000021200120
4102220010031300
51114444233122
651001450240
710513101024
oct2250041560
9723007616
10312492912
11150437606
12887a0980
134c983264
142d706384
151c67a75c
hex12a04370

312492912 has 80 divisors (see below), whose sum is σ = 862578720. Its totient is φ = 97140736.

The previous prime is 312492907. The next prime is 312492913. The reversal of 312492912 is 219294213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312492913) 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, 90514 + ... + 93902.

It is an arithmetic number, because the mean of its divisors is an integer number (10782234).

Almost surely, 2312492912 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 312492912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431289360).

312492912 is an abundant number, since it is smaller than the sum of its proper divisors (550085808).

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

312492912 is a wasteful number, since it uses less digits than its factorization.

312492912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3524 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 312492912 is about 17677.4690496123. The cubic root of 312492912 is about 678.5992734987.

The spelling of 312492912 in words is "three hundred twelve million, four hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 113 136 204 226 272 339 408 452 678 816 904 1356 1808 1921 2712 3389 3842 5424 5763 6778 7684 10167 11526 13556 15368 20334 23052 27112 30736 40668 46104 54224 57613 81336 92208 115226 162672 172839 230452 345678 382957 460904 691356 765914 921808 1148871 1382712 1531828 2297742 2765424 3063656 4595484 6127312 6510269 9190968 13020538 18381936 19530807 26041076 39061614 52082152 78123228 104164304 156246456 312492912