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12441344 = 28232113
BaseRepresentation
bin101111011101…
…011100000000
3212102002022112
4233131130000
511141110334
61122354452
7210515066
oct57353400
925362275
1012441344
117028403
1241bba28
132767b56
14191c036
15115b4ce
hexbdd700

12441344 has 36 divisors (see below), whose sum is σ = 25926096. Its totient is φ = 5947392.

The previous prime is 12441329. The next prime is 12441349. The reversal of 12441344 is 44314421.

It is a happy number.

12441344 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 (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4832 + ... + 6944.

Almost surely, 212441344 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 12441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963048).

12441344 is an abundant number, since it is smaller than the sum of its proper divisors (13484752).

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

12441344 is an equidigital number, since it uses as much as digits as its factorization.

12441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2138 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 12441344 is about 3527.2289406842. The cubic root of 12441344 is about 231.7158630115.

Adding to 12441344 its reverse (44314421), we get a palindrome (56755765).

The spelling of 12441344 in words is "twelve million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2113 2944 4226 5888 8452 16904 33808 48599 67616 97198 135232 194396 270464 388792 540928 777584 1555168 3110336 6220672 12441344