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682304256 = 283398713
BaseRepresentation
bin101000101010110…
…010001100000000
31202112212122111000
4220222302030000
52344132214011
6151412052000
722623330144
oct5052621400
91675778430
10682304256
11320163317
12170604000
13ab484a3a
146688d224
153ed79356
hex28ab2300

682304256 has 72 divisors (see below), whose sum is σ = 2017714160. Its totient is φ = 227432448.

The previous prime is 682304237. The next prime is 682304267. The reversal of 682304256 is 652403286.

It is a tau number, because it is divible by the number of its divisors (72).

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 682304256.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42445 + ... + 56268.

Almost surely, 2682304256 is an apocalyptic number.

It is an amenable number.

682304256 is an abundant number, since it is smaller than the sum of its proper divisors (1335409904).

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

682304256 is an equidigital number, since it uses as much as digits as its factorization.

682304256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98738 (or 98718 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 682304256 is about 26120.9543470372. The cubic root of 682304256 is about 880.3580911797.

It can be divided in two parts, 68 and 2304256, that added together give a square (2304324 = 15182).

The spelling of 682304256 in words is "six hundred eighty-two million, three hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 98713 197426 296139 394852 592278 789704 888417 1184556 1579408 1776834 2369112 2665251 3158816 3553668 4738224 5330502 6317632 7107336 9476448 10661004 12635264 14214672 18952896 21322008 25270528 28429344 37905792 42644016 56858688 75811584 85288032 113717376 170576064 227434752 341152128 682304256