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13388382 = 233735419
BaseRepresentation
bin110011000100…
…101001011110
3221012012102000
4303010221132
511411412012
61154543130
7221541120
oct63045136
927165360
1013388382
117614987
124597aa6
132a09c27
141ac7210
151296ddc
hexcc4a5e

13388382 has 32 divisors (see below), whose sum is σ = 34003200. Its totient is φ = 3825144.

The previous prime is 13388381. The next prime is 13388393. The reversal of 13388382 is 28388331.

13388382 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13388381) 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, 17332 + ... + 18087.

It is an arithmetic number, because the mean of its divisors is an integer number (1062600).

Almost surely, 213388382 is an apocalyptic number.

13388382 is an abundant number, since it is smaller than the sum of its proper divisors (20614818).

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

13388382 is a wasteful number, since it uses less digits than its factorization.

13388382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35437 (or 35431 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 13388382 is about 3659.0138015591. The cubic root of 13388382 is about 237.4521092726.

The spelling of 13388382 in words is "thirteen million, three hundred eighty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 35419 70838 106257 212514 247933 318771 495866 637542 743799 956313 1487598 1912626 2231397 4462794 6694191 13388382