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312012 = 2236107
BaseRepresentation
bin1001100001011001100
3120212000000
41030023030
534441022
610404300
72436441
oct1141314
9525000
10312012
111a3468
12130690
13ac02c
14819c8
15626ac
hex4c2cc

312012 has 42 divisors (see below), whose sum is σ = 826308. Its totient is φ = 103032.

The previous prime is 312007. The next prime is 312023. The reversal of 312012 is 210213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 311985 and 312003.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2863 + ... + 2969.

It is an arithmetic number, because the mean of its divisors is an integer number (19674).

2312012 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 312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413154).

312012 is an abundant number, since it is smaller than the sum of its proper divisors (514296).

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

312012 is a wasteful number, since it uses less digits than its factorization.

312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 312012 is about 558.5803433706. The cubic root of 312012 is about 67.8250983905.

Adding to 312012 its reverse (210213), we get a palindrome (522225).

The spelling of 312012 in words is "three hundred twelve thousand, twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 642 729 963 972 1284 1458 1926 2889 2916 3852 5778 8667 11556 17334 26001 34668 52002 78003 104004 156006 312012