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13702338 = 23313131149
BaseRepresentation
bin110100010001…
…010011000010
3221210011002000
4310101103002
512001433323
61205404430
7224316336
oct64212302
927704060
1013702338
117809851
124709716
132ab9ac0
141b697c6
151309e43
hexd114c2

13702338 has 64 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 4155840.

The previous prime is 13702327. The next prime is 13702343. The reversal of 13702338 is 83320731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91888 + ... + 92036.

It is an arithmetic number, because the mean of its divisors is an integer number (519750).

Almost surely, 213702338 is an apocalyptic number.

13702338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13702338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

13702338 is an abundant number, since it is smaller than the sum of its proper divisors (19561662).

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

13702338 is a wasteful number, since it uses less digits than its factorization.

13702338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13702338 is about 3701.6669218070. Note that the first 3 decimals coincide. The cubic root of 13702338 is about 239.2938619084.

The spelling of 13702338 in words is "thirteen million, seven hundred two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 131 149 234 262 298 351 393 447 702 786 894 1179 1341 1703 1937 2358 2682 3406 3537 3874 4023 5109 5811 7074 8046 10218 11622 15327 17433 19519 30654 34866 39038 45981 52299 58557 91962 104598 117114 175671 253747 351342 507494 527013 761241 1054026 1522482 2283723 4567446 6851169 13702338