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13331344 = 2413107599
BaseRepresentation
bin110010110110…
…101110010000
3221002022011111
4302312232100
511403100334
61153423104
7221212615
oct62665620
927068144
1013331344
117586044
12456aa94
1329b9c90
141ab050c
151285064
hexcb6b90

13331344 has 40 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 6085248.

The previous prime is 13331309. The next prime is 13331411. The reversal of 13331344 is 44313331.

It is a happy number.

13331344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21957 + ... + 22555.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 213331344 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 13331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

13331344 is an abundant number, since it is smaller than the sum of its proper divisors (14791856).

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

13331344 is a wasteful number, since it uses less digits than its factorization.

13331344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 13331344 is about 3651.2113058545. The cubic root of 13331344 is about 237.1144266354.

Adding to 13331344 its reverse (44313331), we get a palindrome (57644675).

The spelling of 13331344 in words is "thirteen million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 428 599 856 1198 1391 1712 2396 2782 4792 5564 7787 9584 11128 15574 22256 31148 62296 64093 124592 128186 256372 512744 833209 1025488 1666418 3332836 6665672 13331344