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312056680 = 23513600109
BaseRepresentation
bin10010100110011…
…001101101101000
3210202012010021211
4102212121231220
51114341303210
650544242504
710506303145
oct2246315550
9722163254
10312056680
11150169891
1288610434
134c85c830
142d6313cc
151c5e138a
hex12999b68

312056680 has 32 divisors (see below), whose sum is σ = 756138600. Its totient is φ = 115220736.

The previous prime is 312056669. The next prime is 312056683. The reversal of 312056680 is 86650213.

312056680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 259145604 + 52911076 = 16098^2 + 7274^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (312056683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299535 + ... + 300574.

Almost surely, 2312056680 is an apocalyptic number.

It is an amenable number.

312056680 is an abundant number, since it is smaller than the sum of its proper divisors (444081920).

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

312056680 is a wasteful number, since it uses less digits than its factorization.

312056680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600133 (or 600129 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 312056680 is about 17665.1260963515. The cubic root of 312056680 is about 678.2833574546.

The spelling of 312056680 in words is "three hundred twelve million, fifty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 600109 1200218 2400436 3000545 4800872 6001090 7801417 12002180 15602834 24004360 31205668 39007085 62411336 78014170 156028340 312056680