Search a number
-
+
256353264 = 24321780231
BaseRepresentation
bin11110100011110…
…10001111110000
3122212101002120100
433101322033300
51011111301024
641234312400
76231652416
oct1721721760
9585332510
10256353264
11121783002
1271a28700
134115842b
14260912b6
151778b7c9
hexf47a3f0

256353264 has 30 divisors (see below), whose sum is σ = 717433496. Its totient is φ = 85451040.

The previous prime is 256353247. The next prime is 256353271. The reversal of 256353264 is 462353652.

256353264 is a `hidden beast` number, since 2 + 5 + 63 + 532 + 64 = 666.

256353264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 889972 + ... + 890259.

Almost surely, 2256353264 is an apocalyptic number.

256353264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256353264 is an abundant number, since it is smaller than the sum of its proper divisors (461080232).

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

256353264 is a wasteful number, since it uses less digits than its factorization.

256353264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780245 (or 1780236 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 256353264 is about 16011.0356941704. The cubic root of 256353264 is about 635.2523551099.

The spelling of 256353264 in words is "two hundred fifty-six million, three hundred fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1780231 3560462 5340693 7120924 10681386 14241848 16022079 21362772 28483696 32044158 42725544 64088316 85451088 128176632 256353264