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13345938 = 2331012447
BaseRepresentation
bin110010111010…
…010010010010
3221010001012000
4302322102102
511404032223
61154014430
7221303304
oct62722222
927101160
1013345938
117596001
124577416
1329c3808
141ab5974
151289543
hexcba492

13345938 has 32 divisors (see below), whose sum is σ = 29963520. Its totient is φ = 4402800.

The previous prime is 13345889. The next prime is 13345987. The reversal of 13345938 is 83954331.

It is an interprime number because it is at equal distance from previous prime (13345889) and next prime (13345987).

It is a super-2 number, since 2×133459382 = 356228122199688, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4231 + ... + 6677.

It is an arithmetic number, because the mean of its divisors is an integer number (936360).

Almost surely, 213345938 is an apocalyptic number.

13345938 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 13345938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981760).

13345938 is an abundant number, since it is smaller than the sum of its proper divisors (16617582).

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

13345938 is a wasteful number, since it uses less digits than its factorization.

13345938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2553 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13345938 is about 3653.2092740493. The cubic root of 13345938 is about 237.2009191895.

The spelling of 13345938 in words is "thirteen million, three hundred forty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2447 2727 4894 5454 7341 14682 22023 44046 66069 132138 247147 494294 741441 1482882 2224323 4448646 6672969 13345938