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256344 = 23311971
BaseRepresentation
bin111110100101011000
3111000122020
4332211120
531200334
65254440
72115234
oct764530
9430566
10256344
11165660
12104420
138c8aa
14695c4
1550e49
hex3e958

256344 has 32 divisors (see below), whose sum is σ = 699840. Its totient is φ = 77600.

The previous prime is 256337. The next prime is 256349. The reversal of 256344 is 443652.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 23 + 57 + 311 + 62 + 4 + 45 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256349) by changing a digit.

256344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (21870).

2256344 is an apocalyptic number.

256344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256344 is an abundant number, since it is smaller than the sum of its proper divisors (443496).

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

256344 is a wasteful number, since it uses less digits than its factorization.

256344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 987 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 256344 is about 506.3042563519. The cubic root of 256344 is about 63.5244702846.

Adding to 256344 its reverse (443652), we get a palindrome (699996).

The spelling of 256344 in words is "two hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 971 1942 2913 3884 5826 7768 10681 11652 21362 23304 32043 42724 64086 85448 128172 256344