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397991664 = 24337131611
BaseRepresentation
bin10111101110001…
…101111011110000
31000201220001221000
4113232031323300
51303341213124
6103254202000
712601605360
oct2756157360
91021801830
10397991664
11194724034
12b1353300
13645ba435
143ac009a0
1524e186c9
hex17b8def0

397991664 has 80 divisors (see below), whose sum is σ = 1305591040. Its totient is φ = 113711040.

The previous prime is 397991623. The next prime is 397991677. The reversal of 397991664 is 466199793.

397991664 is a `hidden beast` number, since 397 + 99 + 166 + 4 = 666.

It is a super-2 number, since 2×3979916642 = 316794729226977792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 397991664.

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, 62782 + ... + 68829.

It is an arithmetic number, because the mean of its divisors is an integer number (16319888).

Almost surely, 2397991664 is an apocalyptic number.

It is an amenable number.

397991664 is an abundant number, since it is smaller than the sum of its proper divisors (907599376).

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

397991664 is a wasteful number, since it uses less digits than its factorization.

397991664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131635 (or 131623 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 397991664 is about 19949.7284192041. The cubic root of 397991664 is about 735.5711013239.

The spelling of 397991664 in words is "three hundred ninety-seven million, nine hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 131611 263222 394833 526444 789666 921277 1052888 1184499 1579332 1842554 2105776 2368998 2763831 3158664 3553497 3685108 4737996 5527662 6317328 7106994 7370216 8291493 9475992 11055324 14213988 14740432 16582986 18951984 22110648 24874479 28427976 33165972 44221296 49748958 56855952 66331944 99497916 132663888 198995832 397991664