45344032 has 96 divisors (see below), whose sum is σ = 102876480. Its totient is φ = 19537920.

The previous prime is 45344029. The next prime is 45344053. The reversal of 45344032 is 23044354.

It is a junction number, because it is equal to n+sod(n) for n = 45343988 and 45344006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423723 + ... + 423829.

It is an arithmetic number, because the mean of its divisors is an integer number (1071630).

Almost surely, 2^45344032 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 45344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51438240).

45344032 is an abundant number, since it is smaller than the sum of its proper divisors (57532448).

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

45344032 is a wasteful number, since it uses less digits than its factorization.

45344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 45344032 is about 6733.7977397602. The cubic root of 45344032 is about 356.5934636891.

Adding to 45344032 its reverse (23044354), we get a palindrome (68388386).

The spelling of 45344032 in words is "forty-five million, three hundred forty-four thousand, thirty-two".