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412316964 = 223230737307
BaseRepresentation
bin11000100100110…
…111010100100100
31001201211212112200
4120210313110210
51321023120324
6104525214500
713134431163
oct3044672444
91051755480
10412316964
111a1818924
12b6101430
1367564947
143ca8d3da
15262e7ec9
hex18937524

412316964 has 36 divisors (see below), whose sum is σ = 1045668624. Its totient is φ = 136987632.

The previous prime is 412316959. The next prime is 412316969. The reversal of 412316964 is 469613214.

It is an interprime number because it is at equal distance from previous prime (412316959) and next prime (412316969).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (412316969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7602 + ... + 29705.

Almost surely, 2412316964 is an apocalyptic number.

It is an amenable number.

412316964 is an abundant number, since it is smaller than the sum of its proper divisors (633351660).

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

412316964 is a wasteful number, since it uses less digits than its factorization.

412316964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37624 (or 37619 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 412316964 is about 20305.5894767919. The cubic root of 412316964 is about 744.2926571522.

The spelling of 412316964 in words is "four hundred twelve million, three hundred sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 307 614 921 1228 1842 2763 3684 5526 11052 37307 74614 111921 149228 223842 335763 447684 671526 1343052 11453249 22906498 34359747 45812996 68719494 103079241 137438988 206158482 412316964