Search a number
-
+
327131868 = 223721118457
BaseRepresentation
bin10011011111111…
…010001011011100
3211210120000120010
4103133322023130
51132221204433
652243323220
711051401140
oct2337721334
9753500503
10327131868
11158726018
1291680510
1352a0a46b
1431637220
151dabce63
hex137fa2dc

327131868 has 48 divisors (see below), whose sum is σ = 876533504. Its totient is φ = 93018240.

The previous prime is 327131843. The next prime is 327131897. The reversal of 327131868 is 868131723.

It is a super-2 number, since 2×3271318682 = 214030518122338848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8496 + ... + 26952.

Almost surely, 2327131868 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 327131868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438266752).

327131868 is an abundant number, since it is smaller than the sum of its proper divisors (549401636).

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

327131868 is a wasteful number, since it uses less digits than its factorization.

327131868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18682 (or 18680 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 327131868 is about 18086.7871110377. The cubic root of 327131868 is about 689.0344739636.

The spelling of 327131868 in words is "three hundred twenty-seven million, one hundred thirty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 422 633 844 1266 1477 2532 2954 4431 5908 8862 17724 18457 36914 55371 73828 110742 129199 221484 258398 387597 516796 775194 1550388 3894427 7788854 11683281 15577708 23366562 27260989 46733124 54521978 81782967 109043956 163565934 327131868