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3122964 = 2232136673
BaseRepresentation
bin1011111010011100010100
312212122220100
423322130110
51244413324
6150534100
735354565
oct13723424
95778810
103122964
111843369
121067330
13854610
145b416c
1541a4c9
hex2fa714

3122964 has 36 divisors (see below), whose sum is σ = 8502676. Its totient is φ = 960768.

The previous prime is 3122957. The next prime is 3122969. The reversal of 3122964 is 4692213.

It can be written as a sum of positive squares in 2 ways, for example, as 260100 + 2862864 = 510^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122969) 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, 2869 + ... + 3804.

Almost surely, 23122964 is an apocalyptic number.

It is an amenable number.

3122964 is an abundant number, since it is smaller than the sum of its proper divisors (5379712).

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

3122964 is a wasteful number, since it uses less digits than its factorization.

3122964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696 (or 6691 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3122964 is about 1767.1909913759. The cubic root of 3122964 is about 146.1691290787.

The spelling of 3122964 in words is "three million, one hundred twenty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6673 13346 20019 26692 40038 60057 80076 86749 120114 173498 240228 260247 346996 520494 780741 1040988 1561482 3122964