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13354038 = 233673691
BaseRepresentation
bin110010111100…
…010000110110
3221010110022000
4302330100312
511404312123
61154120130
7221336025
oct62742066
927113260
1013354038
1175a10a5
124580046
1329c73c9
141ab88bc
15128bb43
hexcbc436

13354038 has 32 divisors (see below), whose sum is σ = 30126720. Its totient is φ = 4383720.

The previous prime is 13354031. The next prime is 13354057. The reversal of 13354038 is 83045331.

It is a happy number.

13354038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354031) 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, 1773 + ... + 5463.

It is an arithmetic number, because the mean of its divisors is an integer number (941460).

Almost surely, 213354038 is an apocalyptic number.

13354038 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 13354038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063360).

13354038 is an abundant number, since it is smaller than the sum of its proper divisors (16772682).

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

13354038 is a wasteful number, since it uses less digits than its factorization.

13354038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13354038 is about 3654.3177201771. The cubic root of 13354038 is about 237.2488973053.

Adding to 13354038 its reverse (83045331), we get a palindrome (96399369).

The spelling of 13354038 in words is "thirteen million, three hundred fifty-four thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 3691 7382 11073 22146 33219 66438 99657 199314 247297 494594 741891 1483782 2225673 4451346 6677019 13354038