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256694384 = 2431796551
BaseRepresentation
bin11110100110011…
…01100001110000
3122220000102111102
433103031201300
51011203210014
641245503532
76234603062
oct1723154160
9586012442
10256694384
11121996321
1271b71ba8
134124778b
142613d732
15178078de
hexf4cd870

256694384 has 40 divisors (see below), whose sum is σ = 519966720. Its totient is φ = 122616000.

The previous prime is 256694359. The next prime is 256694387. The reversal of 256694384 is 483496652.

256694384 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256694387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35909 + ... + 42459.

It is an arithmetic number, because the mean of its divisors is an integer number (12999168).

Almost surely, 2256694384 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 256694384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

256694384 is an abundant number, since it is smaller than the sum of its proper divisors (263272336).

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

256694384 is a wasteful number, since it uses less digits than its factorization.

256694384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6669 (or 6663 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 47.

The square root of 256694384 is about 16021.6848052881. The cubic root of 256694384 is about 635.5339993196.

The spelling of 256694384 in words is "two hundred fifty-six million, six hundred ninety-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 31 62 79 124 158 248 316 496 632 1264 2449 4898 6551 9796 13102 19592 26204 39184 52408 104816 203081 406162 517529 812324 1035058 1624648 2070116 3249296 4140232 8280464 16043399 32086798 64173596 128347192 256694384