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634144 = 25719149
BaseRepresentation
bin10011010110100100000
31012012212211
42122310200
5130243034
621331504
75250550
oct2326440
91165784
10634144
113a3495
12266b94
13192844
14127160
15c7d64
hex9ad20

634144 has 48 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 255744.

The previous prime is 634141. The next prime is 634157. The reversal of 634144 is 441436.

It is a happy number.

It is a super-2 number, since 2×6341442 = 804277225472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (634141) 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, 4182 + ... + 4330.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2634144 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 634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

634144 is an abundant number, since it is smaller than the sum of its proper divisors (877856).

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

634144 is a wasteful number, since it uses less digits than its factorization.

634144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 634144 is about 796.3315892265. The cubic root of 634144 is about 85.9137408038.

The spelling of 634144 in words is "six hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 149 152 224 266 298 304 532 596 608 1043 1064 1192 2086 2128 2384 2831 4172 4256 4768 5662 8344 11324 16688 19817 22648 33376 39634 45296 79268 90592 158536 317072 634144