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634715680 = 2559914003
BaseRepresentation
bin100101110101001…
…111111000100000
31122020022220020011
4211311033320200
52244441400210
6142552054304
721504665014
oct4565177040
91566286204
10634715680
112a630a315
12158694394
13a1662111
1460422544
153aac8d8a
hex25d4fe20

634715680 has 48 divisors (see below), whose sum is σ = 1501403904. Its totient is φ = 253566720.

The previous prime is 634715677. The next prime is 634715681. The reversal of 634715680 is 86517436.

It is a happy number.

634715680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (634715681) 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, 156559 + ... + 160561.

It is an arithmetic number, because the mean of its divisors is an integer number (31279248).

Almost surely, 2634715680 is an apocalyptic number.

It is an amenable number.

634715680 is an abundant number, since it is smaller than the sum of its proper divisors (866688224).

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

634715680 is a wasteful number, since it uses less digits than its factorization.

634715680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 634715680 is about 25193.5642575639. The cubic root of 634715680 is about 859.3955009192.

The spelling of 634715680 in words is "six hundred thirty-four million, seven hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 991 1982 3964 4003 4955 7928 8006 9910 15856 16012 19820 20015 31712 32024 39640 40030 64048 79280 80060 128096 158560 160120 320240 640480 3966973 7933946 15867892 19834865 31735784 39669730 63471568 79339460 126943136 158678920 317357840 634715680