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312564 = 2237612
BaseRepresentation
bin1001100010011110100
3120212202110
41030103310
540000224
610411020
72441160
oct1142364
9525673
10312564
111a391a
12130a70
13ac365
1481ca0
1562929
hex4c4f4

312564 has 36 divisors (see below), whose sum is σ = 847392. Its totient is φ = 87840.

The previous prime is 312563. The next prime is 312581. The reversal of 312564 is 465213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 312564.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312564.

It is not an unprimeable number, because it can be changed into a prime (312563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5094 + ... + 5154.

2312564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423696).

312564 is an abundant number, since it is smaller than the sum of its proper divisors (534828).

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

312564 is a wasteful number, since it uses less digits than its factorization.

312564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 73 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 312564 is about 559.0742347846. The cubic root of 312564 is about 67.8650727047.

Multiplying 312564 by its sum of digits (21), we get a square (6563844 = 25622).

312564 divided by its sum of digits (21) gives a square (14884 = 1222).

Adding to 312564 its reverse (465213), we get a palindrome (777777).

The spelling of 312564 in words is "three hundred twelve thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 3721 5124 7442 11163 14884 22326 26047 44652 52094 78141 104188 156282 312564