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312152317 = 17291016269
BaseRepresentation
bin10010100110110…
…001000011111101
3210202100222110221
4102212301003331
51114402333232
650550301341
710510152031
oct2246610375
9722328427
10312152317
11150224724
1288657851
134c894219
142d6581c1
151c60e897
hex129b10fd

312152317 has 16 divisors (see below), whose sum is σ = 345351600. Its totient is φ = 280806400.

The previous prime is 312152261. The next prime is 312152327. The reversal of 312152317 is 713251213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 38613796 + 273538521 = 6214^2 + 16539^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312152317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312152291 and 312152300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312152327) 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, 46659 + ... + 52927.

It is an arithmetic number, because the mean of its divisors is an integer number (21584475).

Almost surely, 2312152317 is an apocalyptic number.

It is an amenable number.

312152317 is a deficient number, since it is larger than the sum of its proper divisors (33199283).

312152317 is a wasteful number, since it uses less digits than its factorization.

312152317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416.

The product of its digits is 1260, while the sum is 25.

The square root of 312152317 is about 17667.8328325802. The cubic root of 312152317 is about 678.3526422607.

The spelling of 312152317 in words is "three hundred twelve million, one hundred fifty-two thousand, three hundred seventeen".

Divisors: 1 17 29 101 493 1717 2929 6269 49793 106573 181801 633169 3090617 10763873 18361901 312152317