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12409344 = 29322693
BaseRepresentation
bin101111010101…
…101000000000
3212100110102100
4233111220000
511134044334
61121550400
7210322563
oct57255000
925313370
1012409344
117006362
1241a5400
13275640c
1419104da
151151c99
hexbd5a00

12409344 has 60 divisors (see below), whose sum is σ = 35827506. Its totient is φ = 4134912.

The previous prime is 12409339. The next prime is 12409349. The reversal of 12409344 is 44390421.

It is an interprime number because it is at equal distance from previous prime (12409339) and next prime (12409349).

It can be written as a sum of positive squares in only one way, i.e., 10969344 + 1440000 = 3312^2 + 1200^2 .

It is not an unprimeable number, because it can be changed into a prime (12409349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3262 + ... + 5954.

Almost surely, 212409344 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 12409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17913753).

12409344 is an abundant number, since it is smaller than the sum of its proper divisors (23418162).

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

12409344 is an equidigital number, since it uses as much as digits as its factorization.

12409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12409344 is about 3522.6898813265. The cubic root of 12409344 is about 231.5170293503.

Adding to 12409344 its reverse (44390421), we get a palindrome (56799765).

The spelling of 12409344 in words is "twelve million, four hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 2693 4608 5386 8079 10772 16158 21544 24237 32316 43088 48474 64632 86176 96948 129264 172352 193896 258528 344704 387792 517056 689408 775584 1034112 1378816 1551168 2068224 3102336 4136448 6204672 12409344