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12306304 = 27791217
BaseRepresentation
bin101110111100…
…011110000000
3212011020002001
4232330132000
511122300204
61115433344
7206413303
oct56743600
925136061
1012306304
116a459aa
124155854
13271b54a
1418c4b3a
1511314a4
hexbbc780

12306304 has 32 divisors (see below), whose sum is σ = 24847200. Its totient is φ = 6070272.

The previous prime is 12306277. The next prime is 12306313. The reversal of 12306304 is 40360321.

12306304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9504 + ... + 10720.

It is an arithmetic number, because the mean of its divisors is an integer number (776475).

Almost surely, 212306304 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 12306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423600).

12306304 is an abundant number, since it is smaller than the sum of its proper divisors (12540896).

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

12306304 is an equidigital number, since it uses as much as digits as its factorization.

12306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 12306304 is about 3508.0342073589. The cubic root of 12306304 is about 230.8744531206.

Adding to 12306304 its reverse (40360321), we get a palindrome (52666625).

The spelling of 12306304 in words is "twelve million, three hundred six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1217 1264 2434 2528 4868 5056 9736 10112 19472 38944 77888 96143 155776 192286 384572 769144 1538288 3076576 6153152 12306304