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634057656 = 23353503991
BaseRepresentation
bin100101110010101…
…111001110111000
31122012002110120220
4211302233032320
52244304321111
6142530020040
721466254411
oct4562571670
91565073526
10634057656
112a59aa9a1
12158417620
13a149175b
14602d0808
153a9e8e06
hex25caf3b8

634057656 has 64 divisors (see below), whose sum is σ = 1619896320. Its totient is φ = 206743680.

The previous prime is 634057643. The next prime is 634057657. The reversal of 634057656 is 656750436.

It is a super-2 number, since 2×6340576562 = 804058222264428672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634057657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639321 + ... + 640311.

It is an arithmetic number, because the mean of its divisors is an integer number (25310880).

Almost surely, 2634057656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634057656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809948160).

634057656 is an abundant number, since it is smaller than the sum of its proper divisors (985838664).

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

634057656 is a wasteful number, since it uses less digits than its factorization.

634057656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 634057656 is about 25180.5015041401. The cubic root of 634057656 is about 859.0984133577.

The spelling of 634057656 in words is "six hundred thirty-four million, fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 503 636 991 1006 1272 1509 1982 2012 2973 3018 3964 4024 5946 6036 7928 11892 12072 23784 26659 52523 53318 79977 105046 106636 157569 159954 210092 213272 315138 319908 420184 498473 630276 639816 996946 1260552 1495419 1993892 2990838 3987784 5981676 11963352 26419069 52838138 79257207 105676276 158514414 211352552 317028828 634057656