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3256 = 231137
BaseRepresentation
bin110010111000
311110121
4302320
5101011
623024
712331
oct6270
94417
103256
1124a0
121a74
131636
141288
15e71
hexcb8

3256 has 16 divisors (see below), whose sum is σ = 6840. Its totient is φ = 1440.

The previous prime is 3253. The next prime is 3257. The reversal of 3256 is 6523.

Subtracting from 3256 its sum of digits (16), we obtain a triangular number (3240 = T80).

Adding to 3256 its reverse (6523), we get a palindrome (9779).

It can be divided in two parts, 32 and 56, that added together give a palindrome (88).

3256 = T5 + T6 + ... + T26.

3256 = 62 + 72 + ... + 212.

3256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 14.

It is a nialpdrome in base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70 + ... + 106.

23256 is an apocalyptic number.

3256 is the 31-st centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420).

3256 is an abundant number, since it is smaller than the sum of its proper divisors (3584).

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

3256 is a wasteful number, since it uses less digits than its factorization.

3256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 50 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 3256 is about 57.0613704707. The cubic root of 3256 is about 14.8215901108.

The spelling of 3256 in words is "three thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 3256