30882464 has 48 divisors (see below), whose sum is σ = 62868960. Its totient is φ = 14926080.

The previous prime is 30882461. The next prime is 30882473. The reversal of 30882464 is 46428803.

It is a super-2 number, since 2×30882464² = 1907453165422592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30882461) 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 7 ways as a sum of consecutive naturals, for example, 222107 + ... + 222245.

It is an arithmetic number, because the mean of its divisors is an integer number (1309770).

Almost surely, 2^30882464 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 30882464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31434480).

30882464 is an abundant number, since it is smaller than the sum of its proper divisors (31986496).

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

30882464 is a wasteful number, since it uses less digits than its factorization.

30882464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 30882464 is about 5557.1992946088. The cubic root of 30882464 is about 313.7405459498.

The spelling of 30882464 in words is "thirty million, eight hundred eighty-two thousand, four hundred sixty-four".