30046032 has 80 divisors (see below), whose sum is σ = 86988480. Its totient is φ = 9929088.

The previous prime is 30046031. The next prime is 30046039. The reversal of 30046032 is 23064003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30045996 and 30046014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30046031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67603 + ... + 68045.

It is an arithmetic number, because the mean of its divisors is an integer number (1087356).

Almost surely, 2^30046032 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 30046032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43494240).

30046032 is an abundant number, since it is smaller than the sum of its proper divisors (56942448).

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

30046032 is a wasteful number, since it uses less digits than its factorization.

30046032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30046032 is about 5481.4260918122. The cubic root of 30046032 is about 310.8820939652.

The spelling of 30046032 in words is "thirty million, forty-six thousand, thirty-two", and thus it is an eban number.