45348030 has 192 divisors, whose sum is σ = 149385600. Its totient is φ = 9483264.

The previous prime is 45348029. The next prime is 45348031. The reversal of 45348030 is 3084354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45348029) and next prime (45348031).

It is a junction number, because it is equal to n+sod(n) for n = 45347985 and 45348003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45348031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401254 + ... + 401366.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^45348030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45348030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

45348030 is an abundant number, since it is smaller than the sum of its proper divisors (104037570).

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

45348030 is a wasteful number, since it uses less digits than its factorization.

45348030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45348030 is about 6734.0945939302. The cubic root of 45348030 is about 356.6039437067.

The spelling of 45348030 in words is "forty-five million, three hundred forty-eight thousand, thirty".