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634006004 = 222937314653
BaseRepresentation
bin100101110010100…
…010100111110100
31122011222211201212
4211302202213310
52244301143004
6142524540552
721465651002
oct4562424764
91564884655
10634006004
112a5975105
121583b1758
13a14740a8
14602b9a72
153a9d896e
hex25ca29f4

634006004 has 24 divisors (see below), whose sum is σ = 1150925160. Its totient is φ = 305230464.

The previous prime is 634005979. The next prime is 634006031. The reversal of 634006004 is 400600436.

634006004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 198866404 + 435139600 = 14102^2 + 20860^2 .

It is a super-2 number, since 2×6340060042 = 803927226216096032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35942 + ... + 50594.

It is an arithmetic number, because the mean of its divisors is an integer number (47955215).

Almost surely, 2634006004 is an apocalyptic number.

It is an amenable number.

634006004 is a deficient number, since it is larger than the sum of its proper divisors (516919156).

634006004 is a wasteful number, since it uses less digits than its factorization.

634006004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15059 (or 15057 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 634006004 is about 25179.4758483968. The cubic root of 634006004 is about 859.0750845874.

The spelling of 634006004 in words is "six hundred thirty-four million, six thousand, four".

Divisors: 1 2 4 29 58 116 373 746 1492 10817 14653 21634 29306 43268 58612 424937 849874 1699748 5465569 10931138 21862276 158501501 317003002 634006004