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2634256 = 243147113
BaseRepresentation
bin1010000011001000010000
311221211112001
422003020100
51133244011
6132243344
731251022
oct12031020
94854461
102634256
11153a179
12a70554
13713041
144c8012
153707c1
hex283210

2634256 has 40 divisors (see below), whose sum is σ = 5428224. Its totient is φ = 1236480.

The previous prime is 2634251. The next prime is 2634263. The reversal of 2634256 is 6524362.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2 + 63 + 312 + 45 + 221 + 55 + 64 .

It is not an unprimeable number, because it can be changed into a prime (2634251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23256 + ... + 23368.

22634256 is an apocalyptic number.

2634256 is the 1027-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2634256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714112).

2634256 is an abundant number, since it is smaller than the sum of its proper divisors (2793968).

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

2634256 is a wasteful number, since it uses less digits than its factorization.

2634256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 2634256 is about 1623.0391246054. The cubic root of 2634256 is about 138.1081557778.

The spelling of 2634256 in words is "two million, six hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 47 62 94 113 124 188 226 248 376 452 496 752 904 1457 1808 2914 3503 5311 5828 7006 10622 11656 14012 21244 23312 28024 42488 56048 84976 164641 329282 658564 1317128 2634256