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12338196 = 22313139569
BaseRepresentation
bin101111000100…
…010000010100
3212012211211020
4233010100110
511124310241
61120241140
7206605263
oct57042024
925184736
1012338196
116a67962
1241701b0
13272cc10
1418d25da
15113ab66
hexbc4414

12338196 has 48 divisors (see below), whose sum is σ = 31281600. Its totient is φ = 3762432.

The previous prime is 12338191. The next prime is 12338203. The reversal of 12338196 is 69183321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21400 + ... + 21968.

It is an arithmetic number, because the mean of its divisors is an integer number (651700).

Almost surely, 212338196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12338196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640800).

12338196 is an abundant number, since it is smaller than the sum of its proper divisors (18943404).

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

12338196 is a wasteful number, since it uses less digits than its factorization.

12338196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 726 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 12338196 is about 3512.5768318999. The cubic root of 12338196 is about 231.0737194671.

The spelling of 12338196 in words is "twelve million, three hundred thirty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 278 417 556 569 834 1138 1668 1707 1807 2276 3414 3614 5421 6828 7228 7397 10842 14794 21684 22191 29588 44382 79091 88764 158182 237273 316364 474546 949092 1028183 2056366 3084549 4112732 6169098 12338196