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312540216 = 23313022509
BaseRepresentation
bin10010101000001…
…111110000111000
3210210002200120120
4102220033300320
51120002241331
651002453240
710513355652
oct2250176070
9723080516
10312540216
1115046a0aa
1288804220
134c99b951
142d7196d2
151c689796
hex12a0fc38

312540216 has 16 divisors (see below), whose sum is σ = 781350600. Its totient is φ = 104180064.

The previous prime is 312540209. The next prime is 312540247. The reversal of 312540216 is 612045213.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 13022509 = 312540216 / (3 + 1 + 2 + 5 + 4 + 0 + 2 + 1 + 6).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6511231 + ... + 6511278.

Almost surely, 2312540216 is an apocalyptic number.

It is an amenable number.

312540216 is an abundant number, since it is smaller than the sum of its proper divisors (468810384).

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

312540216 is a wasteful number, since it uses less digits than its factorization.

312540216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13022518 (or 13022514 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 312540216 is about 17678.8069733226. The cubic root of 312540216 is about 678.6335130384.

Adding to 312540216 its reverse (612045213), we get a palindrome (924585429).

The spelling of 312540216 in words is "three hundred twelve million, five hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 13022509 26045018 39067527 52090036 78135054 104180072 156270108 312540216