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634608 = 243313113
BaseRepresentation
bin10011010111011110000
31012020112000
42122323300
5130301413
621334000
75252112
oct2327360
91166460
10634608
113a3877
12267300
13192b10
141273b2
15c8073
hex9aef0

634608 has 80 divisors (see below), whose sum is σ = 1979040. Its totient is φ = 193536.

The previous prime is 634603. The next prime is 634609. The reversal of 634608 is 806436.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5560 + ... + 5672.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2634608 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 634608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989520).

634608 is an abundant number, since it is smaller than the sum of its proper divisors (1344432).

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

634608 is a wasteful number, since it uses less digits than its factorization.

634608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 634608 is about 796.6228718785. The cubic root of 634608 is about 85.9346899136.

The spelling of 634608 in words is "six hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 113 117 144 156 208 216 226 234 312 339 351 432 452 468 624 678 702 904 936 1017 1356 1404 1469 1808 1872 2034 2712 2808 2938 3051 4068 4407 5424 5616 5876 6102 8136 8814 11752 12204 13221 16272 17628 23504 24408 26442 35256 39663 48816 52884 70512 79326 105768 158652 211536 317304 634608