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45344 = 2513109
BaseRepresentation
bin1011000100100000
32022012102
423010200
52422334
6545532
7246125
oct130440
968172
1045344
1131082
12222a8
1317840
141274c
15d67e
hexb120

45344 has 24 divisors (see below), whose sum is σ = 97020. Its totient is φ = 20736.

The previous prime is 45343. The next prime is 45361. The reversal of 45344 is 44354.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44944 + 400 = 212^2 + 20^2 .

It is not an unprimeable number, because it can be changed into a prime (45341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 362 + ... + 470.

245344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48510).

45344 is an abundant number, since it is smaller than the sum of its proper divisors (51676).

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

45344 is a wasteful number, since it uses less digits than its factorization.

45344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its digits is 960, while the sum is 20.

The square root of 45344 is about 212.9413064673. The cubic root of 45344 is about 35.6593379804.

Adding to 45344 its reverse (44354), we get a palindrome (89698).

Subtracting from 45344 its reverse (44354), we obtain a triangular number (990 = T44).

The spelling of 45344 in words is "forty-five thousand, three hundred forty-four".