Search a number
-
+
312856872 = 233291074201
BaseRepresentation
bin10010101001011…
…101000100101000
3210210200202221120
4102221131010220
51120042404442
651013335240
710516145106
oct2251350450
9723622846
10312856872
11150665aa9
1288937520
134ca7cb13
142d79cc76
151c6ed4ec
hex12a5d128

312856872 has 64 divisors (see below), whose sum is σ = 816868800. Its totient is φ = 99724800.

The previous prime is 312856829. The next prime is 312856877. The reversal of 312856872 is 278658213.

It is not an unprimeable number, because it can be changed into a prime (312856877) 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, 72372 + ... + 76572.

It is an arithmetic number, because the mean of its divisors is an integer number (12763575).

Almost surely, 2312856872 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 312856872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408434400).

312856872 is an abundant number, since it is smaller than the sum of its proper divisors (504011928).

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

312856872 is a wasteful number, since it uses less digits than its factorization.

312856872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4342 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 312856872 is about 17687.7605139825. The cubic root of 312856872 is about 678.8626257831.

The spelling of 312856872 in words is "three hundred twelve million, eight hundred fifty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 107 116 174 214 232 321 348 428 642 696 856 1284 2568 3103 4201 6206 8402 9309 12412 12603 16804 18618 24824 25206 33608 37236 50412 74472 100824 121829 243658 365487 449507 487316 730974 899014 974632 1348521 1461948 1798028 2697042 2923896 3596056 5394084 10788168 13035703 26071406 39107109 52142812 78214218 104285624 156428436 312856872