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12306336 = 253718313
BaseRepresentation
bin101110111100…
…011110100000
3212011020010020
4232330132200
511122300321
61115433440
7206413350
oct56743640
925136106
1012306336
116a45a29
124155880
13271b573
1418c4b60
1511314c6
hexbbc7a0

12306336 has 48 divisors (see below), whose sum is σ = 36921024. Its totient is φ = 3515904.

The previous prime is 12306331. The next prime is 12306341. The reversal of 12306336 is 63360321.

It is an interprime number because it is at equal distance from previous prime (12306331) and next prime (12306341).

It is a tau number, because it is divible by the number of its divisors (48).

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 (12306331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8485 + ... + 9828.

It is an arithmetic number, because the mean of its divisors is an integer number (769188).

Almost surely, 212306336 is an apocalyptic number.

12306336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12306336 is an abundant number, since it is smaller than the sum of its proper divisors (24614688).

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

12306336 is a wasteful number, since it uses less digits than its factorization.

12306336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18333 (or 18325 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 12306336 is about 3508.0387683149. The cubic root of 12306336 is about 230.8746532342.

Adding to 12306336 its reverse (63360321), we get a palindrome (75666657).

The spelling of 12306336 in words is "twelve million, three hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 18313 36626 54939 73252 109878 128191 146504 219756 256382 293008 384573 439512 512764 586016 769146 879024 1025528 1538292 1758048 2051056 3076584 4102112 6153168 12306336