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634400480 = 2557566429
BaseRepresentation
bin100101110100000…
…010111011100000
31122012201212212002
4211310002323200
52244401303410
6142541223132
721502213040
oct4564027340
91565655762
10634400480
112a611451a
12158561aa8
13a15817cc
146037d720
153aa657a5
hex25d02ee0

634400480 has 48 divisors (see below), whose sum is σ = 1712884320. Its totient is φ = 217508352.

The previous prime is 634400477. The next prime is 634400489. The reversal of 634400480 is 84004436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634400489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282095 + ... + 284334.

It is an arithmetic number, because the mean of its divisors is an integer number (35685090).

Almost surely, 2634400480 is an apocalyptic number.

It is an amenable number.

634400480 is an abundant number, since it is smaller than the sum of its proper divisors (1078483840).

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

634400480 is a wasteful number, since it uses less digits than its factorization.

634400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566451 (or 566443 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 634400480 is about 25187.3079149003. The cubic root of 634400480 is about 859.2532186750.

The spelling of 634400480 in words is "six hundred thirty-four million, four hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 566429 1132858 2265716 2832145 3965003 4531432 5664290 7930006 9062864 11328580 15860012 18125728 19825015 22657160 31720024 39650030 45314320 63440048 79300060 90628640 126880096 158600120 317200240 634400480