45306336 has 96 divisors (see below), whose sum is σ = 127612800. Its totient is φ = 14031360.

The previous prime is 45306259. The next prime is 45306341. The reversal of 45306336 is 63360354.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 107406 + ... + 107826.

It is an arithmetic number, because the mean of its divisors is an integer number (1329300).

Almost surely, 2^45306336 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 45306336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63806400).

45306336 is an abundant number, since it is smaller than the sum of its proper divisors (82306464).

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

45306336 is a wasteful number, since it uses less digits than its factorization.

45306336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 45306336 is about 6730.9981429206. The cubic root of 45306336 is about 356.4946202963.

The spelling of 45306336 in words is "forty-five million, three hundred six thousand, three hundred thirty-six".