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13430304 = 253246633
BaseRepresentation
bin110011001110…
…111000100000
3221021022220200
4303032320200
511414232204
61155505200
7222104256
oct63167040
927238820
1013430304
117643428
1245b8200
132a23034
141ad85d6
1512a4539
hexccee20

13430304 has 36 divisors (see below), whose sum is σ = 38193246. Its totient is φ = 4476672.

The previous prime is 13430303. The next prime is 13430369. The reversal of 13430304 is 40303431.

It can be written as a sum of positive squares in only one way, i.e., 12531600 + 898704 = 3540^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (13430303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23029 + ... + 23604.

Almost surely, 213430304 is an apocalyptic number.

It is an amenable number.

13430304 is an abundant number, since it is smaller than the sum of its proper divisors (24762942).

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

13430304 is a wasteful number, since it uses less digits than its factorization.

13430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46649 (or 46638 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13430304 is about 3664.7379169594. The cubic root of 13430304 is about 237.6996894875.

Adding to 13430304 its reverse (40303431), we get a palindrome (53733735).

The spelling of 13430304 in words is "thirteen million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 46633 93266 139899 186532 279798 373064 419697 559596 746128 839394 1119192 1492256 1678788 2238384 3357576 4476768 6715152 13430304