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640456344 = 2332112335159
BaseRepresentation
bin100110001011001…
…001011010011000
31122122010112221100
4212023021122120
52302424100334
6143315111400
721604534443
oct4613113230
91578115840
10640456344
112a9580370
1215a5a2560
13a28c2068
14610b865a
153b35ec99
hex262c9698

640456344 has 96 divisors (see below), whose sum is σ = 1974585600. Its totient is φ = 185634240.

The previous prime is 640456343. The next prime is 640456361. The reversal of 640456344 is 443654046.

640456344 is a `hidden beast` number, since 640 + 4 + 5 + 6 + 3 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 640456299 and 640456308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640456343) 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 23 ways as a sum of consecutive naturals, for example, 637 + ... + 35795.

It is an arithmetic number, because the mean of its divisors is an integer number (20568600).

Almost surely, 2640456344 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 640456344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987292800).

640456344 is an abundant number, since it is smaller than the sum of its proper divisors (1334129256).

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

640456344 is a wasteful number, since it uses less digits than its factorization.

640456344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35205 (or 35198 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 640456344 is about 25307.2389643754. The cubic root of 640456344 is about 861.9786530459.

The spelling of 640456344 in words is "six hundred forty million, four hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2277 3036 4554 6072 9108 18216 35159 70318 105477 140636 210954 281272 316431 386749 421908 632862 773498 808657 843816 1160247 1265724 1546996 1617314 2320494 2425971 2531448 3093992 3234628 3480741 4640988 4851942 6469256 6961482 7277913 8895227 9281976 9703884 13922964 14555826 17790454 19407768 26685681 27845928 29111652 35580908 53371362 58223304 71161816 80057043 106742724 160114086 213485448 320228172 640456344