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12364288 = 29193141
BaseRepresentation
bin101111001010…
…101000000000
3212021011121121
4233022220000
511131124123
61121002024
7210044326
oct57125000
925234547
1012364288
116a85522
124183314
13273ba61
1418dbd16
15114375d
hexbcaa00

12364288 has 80 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 5529600.

The previous prime is 12364283. The next prime is 12364351. The reversal of 12364288 is 88246321.

It is not an unprimeable number, because it can be changed into a prime (12364283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301548 + ... + 301588.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 212364288 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 12364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

12364288 is an abundant number, since it is smaller than the sum of its proper divisors (15133952).

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

12364288 is an equidigital number, since it uses as much as digits as its factorization.

12364288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 12364288 is about 3516.2889528592. The cubic root of 12364288 is about 231.2364912489.

The spelling of 12364288 in words is "twelve million, three hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 41 62 64 76 82 124 128 152 164 248 256 304 328 496 512 589 608 656 779 992 1178 1216 1271 1312 1558 1984 2356 2432 2542 2624 3116 3968 4712 4864 5084 5248 6232 7936 9424 9728 10168 10496 12464 15872 18848 20336 20992 24149 24928 37696 40672 48298 49856 75392 81344 96596 99712 150784 162688 193192 199424 301568 325376 386384 398848 650752 772768 1545536 3091072 6182144 12364288