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13374336 = 273291201
BaseRepresentation
bin110011000001…
…001110000000
3221011111010210
4303001032000
511410434321
61154354120
7221452143
oct63011600
927144123
1013374336
117605378
12458b940
132a03711
141ac205a
151292b76
hexcc1380

13374336 has 64 divisors (see below), whose sum is σ = 36781200. Its totient is φ = 4300800.

The previous prime is 13374331. The next prime is 13374337. The reversal of 13374336 is 63347331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13374331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10536 + ... + 11736.

Almost surely, 213374336 is an apocalyptic number.

13374336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13374336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18390600).

13374336 is an abundant number, since it is smaller than the sum of its proper divisors (23406864).

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

13374336 is a wasteful number, since it uses less digits than its factorization.

13374336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1235 counting only the distinct ones).

The product of its digits is 13608, while the sum is 30.

The square root of 13374336 is about 3657.0939282441. The cubic root of 13374336 is about 237.3690417452.

The spelling of 13374336 in words is "thirteen million, three hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1201 1392 1856 2402 2784 3603 3712 4804 5568 7206 9608 11136 14412 19216 28824 34829 38432 57648 69658 76864 104487 115296 139316 153728 208974 230592 278632 417948 461184 557264 835896 1114528 1671792 2229056 3343584 4458112 6687168 13374336