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13374432 = 253246439
BaseRepresentation
bin110011000001…
…001111100000
3221011111021100
4303001033200
511410440212
61154354400
7221452341
oct63011740
927144240
1013374432
117605455
12458ba00
132a03786
141ac20c8
151292bdc
hexcc13e0

13374432 has 36 divisors (see below), whose sum is σ = 38034360. Its totient is φ = 4458048.

The previous prime is 13374407. The next prime is 13374437. The reversal of 13374432 is 23447331.

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

It is a junction number, because it is equal to n+sod(n) for n = 13374396 and 13374405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13374437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22932 + ... + 23507.

It is an arithmetic number, because the mean of its divisors is an integer number (1056510).

Almost surely, 213374432 is an apocalyptic number.

13374432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13374432 is an abundant number, since it is smaller than the sum of its proper divisors (24659928).

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

13374432 is a wasteful number, since it uses less digits than its factorization.

13374432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46455 (or 46444 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 13374432 is about 3657.1070533962. The cubic root of 13374432 is about 237.3696096830.

The spelling of 13374432 in words is "thirteen million, three hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 46439 92878 139317 185756 278634 371512 417951 557268 743024 835902 1114536 1486048 1671804 2229072 3343608 4458144 6687216 13374432