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634816 = 26713109
BaseRepresentation
bin10011010111111000000
31012020210201
42122333000
5130303231
621334544
75252530
oct2327700
91166721
10634816
113a3a46
12267454
13192c40
141274c0
15c8161
hex9afc0

634816 has 56 divisors (see below), whose sum is σ = 1564640. Its totient is φ = 248832.

The previous prime is 634807. The next prime is 634817. The reversal of 634816 is 618436.

634816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634817) 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, 5770 + ... + 5878.

It is an arithmetic number, because the mean of its divisors is an integer number (27940).

2634816 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 634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782320).

634816 is an abundant number, since it is smaller than the sum of its proper divisors (929824).

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

634816 is a wasteful number, since it uses less digits than its factorization.

634816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 634816 is about 796.7534122927. The cubic root of 634816 is about 85.9440775792.

The spelling of 634816 in words is "six hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 109 112 182 208 218 224 364 416 436 448 728 763 832 872 1417 1456 1526 1744 2834 2912 3052 3488 5668 5824 6104 6976 9919 11336 12208 19838 22672 24416 39676 45344 48832 79352 90688 158704 317408 634816