Search a number
-
+
312232896 = 2632542071
BaseRepresentation
bin10010100111000…
…100101111000000
3210202112002000100
4102213010233000
51114412423041
650552122400
710510635663
oct2247045700
9722462010
10312232896
1115027a218
1288696400
134c8c1ac1
142d6796da
151c6286b6
hex129c4bc0

312232896 has 42 divisors (see below), whose sum is σ = 894960872. Its totient is φ = 104077440.

The previous prime is 312232849. The next prime is 312232901. The reversal of 312232896 is 698232213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 312232896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 270460 + ... + 271611.

Almost surely, 2312232896 is an apocalyptic number.

312232896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312232896 is an abundant number, since it is smaller than the sum of its proper divisors (582727976).

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

312232896 is a wasteful number, since it uses less digits than its factorization.

312232896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542089 (or 542076 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 312232896 is about 17670.1130726433. The cubic root of 312232896 is about 678.4110072232.

The spelling of 312232896 in words is "three hundred twelve million, two hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 542071 1084142 1626213 2168284 3252426 4336568 4878639 6504852 8673136 9757278 13009704 17346272 19514556 26019408 34692544 39029112 52038816 78058224 104077632 156116448 312232896