45306352 has 120 divisors (see below), whose sum is σ = 114916256. Its totient is φ = 16837632.

The previous prime is 45306341. The next prime is 45306367. The reversal of 45306352 is 25360354.

45306352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 45306352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1224478 + ... + 1224514.

Almost surely, 2^45306352 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 45306352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57458128).

45306352 is an abundant number, since it is smaller than the sum of its proper divisors (69609904).

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

45306352 is a wasteful number, since it uses less digits than its factorization.

45306352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 45306352 is about 6730.9993314515. Note that the first 3 decimals coincide. The cubic root of 45306352 is about 356.4946622618.

The spelling of 45306352 in words is "forty-five million, three hundred six thousand, three hundred fifty-two".