Search a number
-
+
268430256 = 24326130559
BaseRepresentation
bin11111111111111…
…10101110110000
3200201002200002100
433333332232300
51022204232011
642345220400
76436422333
oct1777765660
9621080070
10268430256
11128581696
1275a91700
13437c6493
142791661a
1518874d56
hexfffebb0

268430256 has 60 divisors (see below), whose sum is σ = 763572160. Its totient is φ = 88007040.

The previous prime is 268430251. The next prime is 268430287. The reversal of 268430256 is 652034862.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 268430256.

It is not an unprimeable number, because it can be changed into a prime (268430251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6496 + ... + 24063.

Almost surely, 2268430256 is an apocalyptic number.

It is an amenable number.

268430256 is an abundant number, since it is smaller than the sum of its proper divisors (495141904).

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

268430256 is a wasteful number, since it uses less digits than its factorization.

268430256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30634 (or 30625 counting only the distinct ones).

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

The square root of 268430256 is about 16383.8413078252. The cubic root of 268430256 is about 645.0754121309.

The spelling of 268430256 in words is "two hundred sixty-eight million, four hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 30559 61118 91677 122236 183354 244472 275031 366708 488944 550062 733416 1100124 1466832 1864099 2200248 3728198 4400496 5592297 7456396 11184594 14912792 16776891 22369188 29825584 33553782 44738376 67107564 89476752 134215128 268430256