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13231344 = 243753743
BaseRepresentation
bin110010011110…
…010011110000
3220220012222210
4302132103300
511341400334
61151332120
7220315230
oct62362360
926805883
1013231344
1175179a5
124521040
1329835c9
141a85cc0
1512655e9
hexc9e4f0

13231344 has 80 divisors (see below), whose sum is σ = 39854592. Its totient is φ = 3704064.

The previous prime is 13231343. The next prime is 13231357. The reversal of 13231344 is 44313231.

13231344 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 (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13231344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231343) 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, 17437 + ... + 18179.

Almost surely, 213231344 is an apocalyptic number.

13231344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927296).

13231344 is an abundant number, since it is smaller than the sum of its proper divisors (26623248).

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

13231344 is a wasteful number, since it uses less digits than its factorization.

13231344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 13231344 is about 3637.4914432889. The cubic root of 13231344 is about 236.5200634958.

Adding to 13231344 its reverse (44313231), we get a palindrome (57544575).

The spelling of 13231344 in words is "thirteen million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 743 848 1113 1272 1484 1486 2226 2229 2544 2968 2972 4452 4458 5201 5936 5944 8904 8916 10402 11888 15603 17808 17832 20804 31206 35664 39379 41608 62412 78758 83216 118137 124824 157516 236274 249648 275653 315032 472548 551306 630064 826959 945096 1102612 1653918 1890192 2205224 3307836 4410448 6615672 13231344