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12338496 = 263231691
BaseRepresentation
bin101111000100…
…010101000000
3212012212020100
4233010111000
511124312441
61120242400
7206606202
oct57042500
925185210
1012338496
116a68105
124170400
1327300b1
1418d2772
15113acb6
hexbc4540

12338496 has 84 divisors (see below), whose sum is σ = 36559744. Its totient is φ = 3974400.

The previous prime is 12338483. The next prime is 12338503. The reversal of 12338496 is 69483321.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 12338496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17511 + ... + 18201.

Almost surely, 212338496 is an apocalyptic number.

12338496 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 12338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18279872).

12338496 is an abundant number, since it is smaller than the sum of its proper divisors (24221248).

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

12338496 is a wasteful number, since it uses less digits than its factorization.

12338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 727 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12338496 is about 3512.6195353326. The cubic root of 12338496 is about 231.0755922842.

The spelling of 12338496 in words is "twelve million, three hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 691 744 992 1116 1382 1488 1984 2073 2232 2764 2976 4146 4464 5528 5952 6219 8292 8928 11056 12438 16584 17856 21421 22112 24876 33168 42842 44224 49752 64263 66336 85684 99504 128526 132672 171368 192789 199008 257052 342736 385578 398016 514104 685472 771156 1028208 1370944 1542312 2056416 3084624 4112832 6169248 12338496