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396373920 = 2535825779
BaseRepresentation
bin10111101000000…
…010111110100000
31000121211212210120
4113220002332200
51302432431140
6103155400240
712552060045
oct2750027640
91017755716
10396373920
11193819658
12b08b3080
1364171ca7
143a8dd1cc
1524be91d0
hex17a02fa0

396373920 has 48 divisors (see below), whose sum is σ = 1248579360. Its totient is φ = 105699584.

The previous prime is 396373919. The next prime is 396373949. The reversal of 396373920 is 29373693.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3963739202 = 314224568912332800, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 412410 + ... + 413369.

It is an arithmetic number, because the mean of its divisors is an integer number (26012070).

Almost surely, 2396373920 is an apocalyptic number.

396373920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396373920 is an abundant number, since it is smaller than the sum of its proper divisors (852205440).

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

396373920 is a wasteful number, since it uses less digits than its factorization.

396373920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825797 (or 825789 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 42.

The square root of 396373920 is about 19909.1416188644. The cubic root of 396373920 is about 734.5731057995.

The spelling of 396373920 in words is "three hundred ninety-six million, three hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 825779 1651558 2477337 3303116 4128895 4954674 6606232 8257790 9909348 12386685 13212464 16515580 19818696 24773370 26424928 33031160 39637392 49546740 66062320 79274784 99093480 132124640 198186960 396373920