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6441334304 = 25296941093
BaseRepresentation
bin1011111111110111…
…01111011000100000
3121121220111200112012
411333323233120200
5101142440144204
62543100052052
7315423303206
oct57773573040
917556450465
106441334304
112805a68889
1212b9234028
137b8650322
14451693076
1527a76376e
hex17feef620

6441334304 has 24 divisors (see below), whose sum is σ = 13118667660. Its totient is φ = 3109609216.

The previous prime is 6441334201. The next prime is 6441334369. The reversal of 6441334304 is 4034331446.

It can be written as a sum of positive squares in 2 ways, for example, as 5647221904 + 794112400 = 75148^2 + 28180^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3469619 + ... + 3471474.

Almost surely, 26441334304 is an apocalyptic number.

It is an amenable number.

6441334304 is an abundant number, since it is smaller than the sum of its proper divisors (6677333356).

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

6441334304 is a wasteful number, since it uses less digits than its factorization.

6441334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941132 (or 6941124 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The square root of 6441334304 is about 80257.9236212849. The cubic root of 6441334304 is about 1860.6239768759.

The spelling of 6441334304 in words is "six billion, four hundred forty-one million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 6941093 13882186 27764372 55528744 111057488 201291697 222114976 402583394 805166788 1610333576 3220667152 6441334304