Search a number
-
+
2634944 = 26133167
BaseRepresentation
bin1010000011010011000000
311221212110112
422003103000
51133304234
6132250452
731253024
oct12032300
94855415
102634944
11153a744
12a70a28
13713450
144c8384
15370ace
hex2834c0

2634944 has 28 divisors (see below), whose sum is σ = 5632704. Its totient is φ = 1215744.

The previous prime is 2634943. The next prime is 2634953. The reversal of 2634944 is 4494362.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 221 + 62 + 37 + 42 + 96 + 42 + 46 .

It is a self number, because there is not a number n which added to its sum of digits gives 2634944.

It is not an unprimeable number, because it can be changed into a prime (2634941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 752 + ... + 2415.

It is an arithmetic number, because the mean of its divisors is an integer number (201168).

22634944 is an apocalyptic number.

It is an amenable number.

2634944 is an abundant number, since it is smaller than the sum of its proper divisors (2997760).

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

2634944 is a wasteful number, since it uses less digits than its factorization.

2634944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3182 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 2634944 is about 1623.2510588322. The cubic root of 2634944 is about 138.1201781655.

The spelling of 2634944 in words is "two million, six hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 3167 6334 12668 25336 41171 50672 82342 101344 164684 202688 329368 658736 1317472 2634944