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640697344 = 210721132
BaseRepresentation
bin100110001100000…
…100010000000000
31122122120210112021
4212030010100000
52303004303334
6143324211224
721606560200
oct4614042000
91578523467
10640697344
112a9725441
1215a699b14
13a2977971
146113c400
153b3ab3b4
hex26304400

640697344 has 99 divisors (see below), whose sum is σ = 1503175557. Its totient is φ = 272154624.

The previous prime is 640697333. The next prime is 640697359. The reversal of 640697344 is 443796046.

The square root of 640697344 is 25312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 629407744 = 3360^2 + 25088^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 640697344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5669832 + ... + 5669944.

Almost surely, 2640697344 is an apocalyptic number.

640697344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

640697344 is the 25312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640697344

640697344 is an abundant number, since it is smaller than the sum of its proper divisors (862478213).

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

640697344 is an equidigital number, since it uses as much as digits as its factorization.

640697344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The cubic root of 640697344 is about 862.0867586730.

The spelling of 640697344 in words is "six hundred forty million, six hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 128 196 224 226 256 392 448 452 512 784 791 896 904 1024 1568 1582 1792 1808 3136 3164 3584 3616 5537 6272 6328 7168 7232 11074 12544 12656 12769 14464 22148 25088 25312 25538 28928 44296 50176 50624 51076 57856 88592 89383 101248 102152 115712 177184 178766 202496 204304 354368 357532 404992 408608 625681 708736 715064 809984 817216 1251362 1417472 1430128 1634432 2502724 2834944 2860256 3268864 5005448 5669888 5720512 6537728 10010896 11441024 13075456 20021792 22882048 40043584 45764096 80087168 91528192 160174336 320348672 640697344