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634980 = 223519557
BaseRepresentation
bin10011011000001100100
31012021000210
42123001210
5130304410
621335420
75253153
oct2330144
91167023
10634980
113a4085
12267570
13193038
1412759a
15c8220
hex9b064

634980 has 48 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 160128.

The previous prime is 634979. The next prime is 635003. The reversal of 634980 is 89436.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2634980 is an apocalyptic number.

634980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

634980 is an abundant number, since it is smaller than the sum of its proper divisors (1239900).

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

634980 is a wasteful number, since it uses less digits than its factorization.

634980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 634980 is about 796.8563233105. The cubic root of 634980 is about 85.9514779467.

The spelling of 634980 in words is "six hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 557 570 1114 1140 1671 2228 2785 3342 5570 6684 8355 10583 11140 16710 21166 31749 33420 42332 52915 63498 105830 126996 158745 211660 317490 634980