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12241344 = 263103619
BaseRepresentation
bin101110101100…
…100111000000
3212000220222010
4232230213000
511113210334
61114212520
7206023023
oct56544700
925026863
1012241344
116a01115
124124140
1326c7acb
1418a91ba
15111c0e9
hexbac9c0

12241344 has 56 divisors (see below), whose sum is σ = 32755840. Its totient is φ = 4034304.

The previous prime is 12241337. The next prime is 12241349. The reversal of 12241344 is 44314221.

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 12241344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19467 + ... + 20085.

Almost surely, 212241344 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 12241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16377920).

12241344 is an abundant number, since it is smaller than the sum of its proper divisors (20514496).

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

12241344 is a wasteful number, since it uses less digits than its factorization.

12241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 727 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 12241344 is about 3498.7632100501. The cubic root of 12241344 is about 230.4675052967.

Adding to 12241344 its reverse (44314221), we get a palindrome (56555565).

The spelling of 12241344 in words is "twelve million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 619 824 1236 1238 1648 1857 2472 2476 3296 3714 4944 4952 6592 7428 9888 9904 14856 19776 19808 29712 39616 59424 63757 118848 127514 191271 255028 382542 510056 765084 1020112 1530168 2040224 3060336 4080448 6120672 12241344