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312516969 = 3617921617
BaseRepresentation
bin10010101000001…
…010000101101001
3210210001111200120
4102220022011221
51120001020334
651002153453
710513231122
oct2250120551
9723044616
10312516969
11150453696
12887b2889
134c9911ab
142d711049
151c682949
hex12a0a169

312516969 has 16 divisors (see below), whose sum is σ = 428901120. Its totient is φ = 202325760.

The previous prime is 312516961. The next prime is 312516979. The reversal of 312516969 is 969615213.

It is not a de Polignac number, because 312516969 - 23 = 312516961 is a prime.

It is a super-2 number, since 2×3125169692 = 195333711825893922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312516969.

It is not an unprimeable number, because it can be changed into a prime (312516961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3649 + ... + 25265.

It is an arithmetic number, because the mean of its divisors is an integer number (26806320).

Almost surely, 2312516969 is an apocalyptic number.

It is an amenable number.

312516969 is a deficient number, since it is larger than the sum of its proper divisors (116384151).

312516969 is a wasteful number, since it uses less digits than its factorization.

312516969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21760.

The product of its digits is 87480, while the sum is 42.

The square root of 312516969 is about 17678.1494789472. The cubic root of 312516969 is about 678.6166868471.

The spelling of 312516969 in words is "three hundred twelve million, five hundred sixteen thousand, nine hundred sixty-nine".

Divisors: 1 3 61 79 183 237 4819 14457 21617 64851 1318637 1707743 3955911 5123229 104172323 312516969