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12445344 = 253279547
BaseRepresentation
bin101111011110…
…011010100000
3212102021210200
4233132122200
511141222334
61122425200
7210532542
oct57363240
925367720
1012445344
11703040a
124202200
132769912
14191d692
15115c799
hexbde6a0

12445344 has 72 divisors (see below), whose sum is σ = 35904960. Its totient is φ = 4088448.

The previous prime is 12445339. The next prime is 12445351. The reversal of 12445344 is 44354421.

It is a happy number.

12445344 is a `hidden beast` number, since 124 + 4 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22479 + ... + 23025.

It is an arithmetic number, because the mean of its divisors is an integer number (498680).

Almost surely, 212445344 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 12445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17952480).

12445344 is an abundant number, since it is smaller than the sum of its proper divisors (23459616).

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

12445344 is a wasteful number, since it uses less digits than its factorization.

12445344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 631 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 12445344 is about 3527.7959124643. The cubic root of 12445344 is about 231.7406932372.

Adding to 12445344 its reverse (44354421), we get a palindrome (56799765).

The spelling of 12445344 in words is "twelve million, four hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 547 632 711 948 1094 1264 1422 1641 1896 2188 2528 2844 3282 3792 4376 4923 5688 6564 7584 8752 9846 11376 13128 17504 19692 22752 26256 39384 43213 52512 78768 86426 129639 157536 172852 259278 345704 388917 518556 691408 777834 1037112 1382816 1555668 2074224 3111336 4148448 6222672 12445344