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640250336 = 251189107191
BaseRepresentation
bin100110001010010…
…111000111100000
31122121202002100102
4212022113013200
52302401002321
6143310441532
721603016025
oct4612270740
91577662312
10640250336
112a944a610
1215a5032a8
13a284c36b
146106354c
153b31dc0b
hex262971e0

640250336 has 96 divisors (see below), whose sum is σ = 1410877440. Its totient is φ = 283571200.

The previous prime is 640250329. The next prime is 640250341. The reversal of 640250336 is 633052046.

It is a super-2 number, since 2×6402503362 = 819840985496225792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 640250299 and 640250308.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3352001 + ... + 3352191.

It is an arithmetic number, because the mean of its divisors is an integer number (14696640).

Almost surely, 2640250336 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 640250336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705438720).

640250336 is an abundant number, since it is smaller than the sum of its proper divisors (770627104).

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

640250336 is a wasteful number, since it uses less digits than its factorization.

640250336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 640250336 is about 25303.1684972456. The cubic root of 640250336 is about 861.8862223165.

The spelling of 640250336 in words is "six hundred forty million, two hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 107 176 178 191 214 352 356 382 428 712 764 856 979 1177 1424 1528 1712 1958 2101 2354 2848 3056 3424 3916 4202 4708 6112 7832 8404 9416 9523 15664 16808 16999 18832 19046 20437 31328 33616 33998 37664 38092 40874 67232 67996 76184 81748 104753 135992 152368 163496 186989 209506 224807 271984 304736 326992 373978 419012 449614 543968 653984 747956 838024 899228 1495912 1676048 1798456 1818893 2991824 3352096 3596912 3637786 5983648 7193824 7275572 14551144 20007823 29102288 40015646 58204576 80031292 160062584 320125168 640250336