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12305304 = 2333115179
BaseRepresentation
bin101110111100…
…001110011000
3212011011201000
4232330032120
511122232204
61115425000
7206410344
oct56741630
925134630
1012305304
116a45180
124155160
13271ac5b
1418c4624
151131039
hexbbc398

12305304 has 64 divisors (see below), whose sum is σ = 37296000. Its totient is φ = 3728160.

The previous prime is 12305273. The next prime is 12305311. The reversal of 12305304 is 40350321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 214 + ... + 4965.

It is an arithmetic number, because the mean of its divisors is an integer number (582750).

Almost surely, 212305304 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 12305304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648000).

12305304 is an abundant number, since it is smaller than the sum of its proper divisors (24990696).

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

12305304 is a wasteful number, since it uses less digits than its factorization.

12305304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 12305304 is about 3507.8916744962. The cubic root of 12305304 is about 230.8681993960.

Adding to 12305304 its reverse (40350321), we get a palindrome (52655625).

The spelling of 12305304 in words is "twelve million, three hundred five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 5179 10358 15537 20716 31074 41432 46611 56969 62148 93222 113938 124296 139833 170907 186444 227876 279666 341814 372888 455752 512721 559332 683628 1025442 1118664 1367256 1538163 2050884 3076326 4101768 6152652 12305304