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641306304 = 26321113379
BaseRepresentation
bin100110001110011…
…000111011000000
31122200201201212100
4212032120323000
52303133300204
6143345230400
721615004452
oct4616307300
91580651770
10641306304
112aa000a11
1215a932400
13a2b2bbb2
146125a2d2
153b47ba39
hex26398ec0

641306304 has 42 divisors (see below), whose sum is σ = 1838190380. Its totient is φ = 213768576.

The previous prime is 641306291. The next prime is 641306327. The reversal of 641306304 is 403603146.

It is a super-2 number, since 2×6413063042 = 822547551100280832, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 556114 + ... + 557265.

Almost surely, 2641306304 is an apocalyptic number.

641306304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

641306304 is an abundant number, since it is smaller than the sum of its proper divisors (1196884076).

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

641306304 is a wasteful number, since it uses less digits than its factorization.

641306304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113397 (or 1113384 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 641306304 is about 25324.0262201728. The cubic root of 641306304 is about 862.3597997698.

The spelling of 641306304 in words is "six hundred forty-one million, three hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1113379 2226758 3340137 4453516 6680274 8907032 10020411 13360548 17814064 20040822 26721096 35628128 40081644 53442192 71256256 80163288 106884384 160326576 213768768 320653152 641306304