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634880 = 212531
BaseRepresentation
bin10011011000000000000
31012020220002
42123000000
5130304010
621335132
75252651
oct2330000
91166802
10634880
113a3aa4
122674a8
13192c8c
14127528
15c81a5
hex9b000

634880 has 52 divisors (see below), whose sum is σ = 1572672. Its totient is φ = 245760.

The previous prime is 634871. The next prime is 634891. The reversal of 634880 is 88436.

It is a super-2 number, since 2×6348802 = 806145228800, which contains 22 as substring.

It is an unprimeable number.

634880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20465 + ... + 20495.

2634880 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 634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786336).

634880 is an abundant number, since it is smaller than the sum of its proper divisors (937792).

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

634880 is an equidigital number, since it uses as much as digits as its factorization.

634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 634880 is about 796.7935742713. The cubic root of 634880 is about 85.9469656791.

The spelling of 634880 in words is "six hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1024 1240 1280 1984 2048 2480 2560 3968 4096 4960 5120 7936 9920 10240 15872 19840 20480 31744 39680 63488 79360 126976 158720 317440 634880