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3305305312 = 25313790053
BaseRepresentation
bin1100010100000010…
…1111010011100000
322112100111220111021
43011000233103200
523232124232222
61303552055224
7144623426431
oct30500572340
98470456437
103305305312
111446838891
12782b34514
13408a1c07a
14234d9b488
1514529eac7
hexc502f4e0

3305305312 has 48 divisors (see below), whose sum is σ = 6898856832. Its totient is φ = 1556098560.

The previous prime is 3305305307. The next prime is 3305305319. The reversal of 3305305312 is 2135035033.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305305319) 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, 8323 + ... + 81730.

It is an arithmetic number, because the mean of its divisors is an integer number (143726184).

Almost surely, 23305305312 is an apocalyptic number.

3305305312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3305305312 is an abundant number, since it is smaller than the sum of its proper divisors (3593551520).

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

3305305312 is a wasteful number, since it uses less digits than its factorization.

3305305312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90131 (or 90123 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

The square root of 3305305312 is about 57491.7847348645. The cubic root of 3305305312 is about 1489.6029619409.

The spelling of 3305305312 in words is "three billion, three hundred five million, three hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 496 592 992 1147 1184 2294 4588 9176 18352 36704 90053 180106 360212 720424 1440848 2791643 2881696 3331961 5583286 6663922 11166572 13327844 22333144 26655688 44666288 53311376 89332576 103290791 106622752 206581582 413163164 826326328 1652652656 3305305312