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634984 = 237172329
BaseRepresentation
bin10011011000001101000
31012021000221
42123001220
5130304414
621335424
75253160
oct2330150
91167027
10634984
113a4089
12267574
1319303c
141275a0
15c8224
hex9b068

634984 has 64 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 236544.

The previous prime is 634979. The next prime is 635003. The reversal of 634984 is 489436.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

634984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21882 + ... + 21910.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

634984 is a Friedman number, since it can be written as 493*(6^4-8), using all its digits and the basic arithmetic operations.

2634984 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 634984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

634984 is an abundant number, since it is smaller than the sum of its proper divisors (920216).

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

634984 is a wasteful number, since it uses less digits than its factorization.

634984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 634984 is about 796.8588331693. The cubic root of 634984 is about 85.9516584276.

The spelling of 634984 in words is "six hundred thirty-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 17 23 28 29 34 46 56 58 68 92 116 119 136 161 184 203 232 238 322 391 406 476 493 644 667 782 812 952 986 1288 1334 1564 1624 1972 2668 2737 3128 3451 3944 4669 5336 5474 6902 9338 10948 11339 13804 18676 21896 22678 27608 37352 45356 79373 90712 158746 317492 634984