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634343664 = 243127104059
BaseRepresentation
bin100101110011110…
…101000011110000
31122012121222220210
4211303311003300
52244342444124
6142540104120
721501555303
oct4563650360
91565558823
10634343664
112a6085869
12158535040
13a15619a6
1460366b3a
153aa53a29
hex25cf50f0

634343664 has 40 divisors (see below), whose sum is σ = 1651640320. Its totient is φ = 209780928.

The previous prime is 634343663. The next prime is 634343681. The reversal of 634343664 is 466343436.

634343664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634343663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45934 + ... + 58125.

It is an arithmetic number, because the mean of its divisors is an integer number (41291008).

Almost surely, 2634343664 is an apocalyptic number.

It is an amenable number.

634343664 is an abundant number, since it is smaller than the sum of its proper divisors (1017296656).

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

634343664 is a wasteful number, since it uses less digits than its factorization.

634343664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104197 (or 104191 counting only the distinct ones).

The product of its digits is 373248, while the sum is 39.

The square root of 634343664 is about 25186.1800200030. The cubic root of 634343664 is about 859.2275667459.

The spelling of 634343664 in words is "six hundred thirty-four million, three hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1016 1524 2032 3048 6096 104059 208118 312177 416236 624354 832472 1248708 1664944 2497416 4994832 13215493 26430986 39646479 52861972 79292958 105723944 158585916 211447888 317171832 634343664