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244134132 = 2231112714563
BaseRepresentation
bin11101000110100…
…11000011110100
3122000101022001220
432203103003310
5444444243012
640120350340
76023051214
oct1643230364
9560338056
10244134132
11115897650
12699153b0
133b76a788
14245d0244
151667608c
hexe8d30f4

244134132 has 48 divisors (see below), whose sum is σ = 626368512. Its totient is φ = 73392480.

The previous prime is 244134113. The next prime is 244134133. The reversal of 244134132 is 231431442.

244134132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244134133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9483 + ... + 24045.

It is an arithmetic number, because the mean of its divisors is an integer number (13049344).

Almost surely, 2244134132 is an apocalyptic number.

244134132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244134132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313184256).

244134132 is an abundant number, since it is smaller than the sum of its proper divisors (382234380).

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

244134132 is a wasteful number, since it uses less digits than its factorization.

244134132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14708 (or 14706 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 244134132 is about 15624.7922226185. The cubic root of 244134132 is about 624.9944592575.

Adding to 244134132 its reverse (231431442), we get a palindrome (475565574).

The spelling of 244134132 in words is "two hundred forty-four million, one hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 1397 1524 2794 4191 5588 8382 14563 16764 29126 43689 58252 87378 160193 174756 320386 480579 640772 961158 1849501 1922316 3699002 5548503 7398004 11097006 20344511 22194012 40689022 61033533 81378044 122067066 244134132