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256334013 = 32133316619
BaseRepresentation
bin11110100011101…
…01100010111101
3122212100010011100
433101311202331
51011110142023
641234043313
76231542325
oct1721654275
9585303140
10256334013
1112176a5a1
1271a19539
134114c740
1426088285
1517785c43
hexf4758bd

256334013 has 24 divisors (see below), whose sum is σ = 400006880. Its totient is φ = 157243680.

The previous prime is 256333993. The next prime is 256334021. The reversal of 256334013 is 310433652.

It is a happy number.

256334013 is a `hidden beast` number, since 25 + 633 + 4 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 256334013 - 26 = 256333949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256334413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35418 + ... + 42036.

Almost surely, 2256334013 is an apocalyptic number.

It is an amenable number.

256334013 is a deficient number, since it is larger than the sum of its proper divisors (143672867).

256334013 is a wasteful number, since it uses less digits than its factorization.

256334013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 256334013 is about 16010.4345037853. The cubic root of 256334013 is about 635.2364531614.

Adding to 256334013 its reverse (310433652), we get a palindrome (566767665).

It can be divided in two parts, 25633 and 4013, that added together give a triangular number (29646 = T243).

The spelling of 256334013 in words is "two hundred fifty-six million, three hundred thirty-four thousand, thirteen".

Divisors: 1 3 9 13 39 117 331 993 2979 4303 6619 12909 19857 38727 59571 86047 258141 774423 2190889 6572667 19718001 28481557 85444671 256334013