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640317456 = 24327360913
BaseRepresentation
bin100110001010100…
…111100000010000
31122121212111102100
4212022213200100
52302410124311
6143312120400
721603415512
oct4612474020
91577774370
10640317456
112a9495a89
1215a536100
13a2873a8c
146107dbb2
153b333a56
hex262a7810

640317456 has 60 divisors (see below), whose sum is σ = 1816577308. Its totient is φ = 210511872.

The previous prime is 640317443. The next prime is 640317473. The reversal of 640317456 is 654713046.

It is a happy number.

640317456 is a `hidden beast` number, since 640 + 3 + 1 + 7 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116640000 + 523677456 = 10800^2 + 22884^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 640317456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19945 + ... + 40968.

Almost surely, 2640317456 is an apocalyptic number.

It is an amenable number.

640317456 is an abundant number, since it is smaller than the sum of its proper divisors (1176259852).

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

640317456 is a wasteful number, since it uses less digits than its factorization.

640317456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61000 (or 60991 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 640317456 is about 25304.4947785962. The cubic root of 640317456 is about 861.9163395891.

It can be divided in two parts, 640 and 317456, that added together give a square (318096 = 5642).

The spelling of 640317456 in words is "six hundred forty million, three hundred seventeen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 60913 121826 182739 243652 365478 487304 548217 730956 974608 1096434 1461912 2192868 2923824 4385736 4446649 8771472 8893298 13339947 17786596 26679894 35573192 40019841 53359788 71146384 80039682 106719576 160079364 213439152 320158728 640317456