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12109344 = 2531331313
BaseRepresentation
bin101110001100…
…011000100000
3211210012220020
4232030120200
511044444334
61111313440
7204633132
oct56143040
924705806
1012109344
116920a25
12407b880
13267c9c0
141873052
1510e2e49
hexb8c620

12109344 has 96 divisors (see below), whose sum is σ = 35449344. Its totient is φ = 3594240.

The previous prime is 12109343. The next prime is 12109367. The reversal of 12109344 is 44390121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×121093442 = 293272424220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12109343) 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, 38532 + ... + 38844.

It is an arithmetic number, because the mean of its divisors is an integer number (369264).

Almost surely, 212109344 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 12109344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17724672).

12109344 is an abundant number, since it is smaller than the sum of its proper divisors (23340000).

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

12109344 is a wasteful number, since it uses less digits than its factorization.

12109344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12109344 is about 3479.8482725544. The cubic root of 12109344 is about 229.6361227953.

Adding to 12109344 its reverse (44390121), we get a palindrome (56499465).

The spelling of 12109344 in words is "twelve million, one hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 313 372 403 416 496 624 626 744 806 939 992 1209 1248 1252 1488 1612 1878 2418 2504 2976 3224 3756 4069 4836 5008 6448 7512 8138 9672 9703 10016 12207 12896 15024 16276 19344 19406 24414 29109 30048 32552 38688 38812 48828 58218 65104 77624 97656 116436 126139 130208 155248 195312 232872 252278 310496 378417 390624 465744 504556 756834 931488 1009112 1513668 2018224 3027336 4036448 6054672 12109344