30705432 has 64 divisors (see below), whose sum is σ = 80200800. Its totient is φ = 9784320.

The previous prime is 30705431. The next prime is 30705487. The reversal of 30705432 is 23450703.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30705431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109132 + ... + 109412.

Almost surely, 2^30705432 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 30705432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40100400).

30705432 is an abundant number, since it is smaller than the sum of its proper divisors (49495368).

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

30705432 is a wasteful number, since it uses less digits than its factorization.

30705432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 30705432 is about 5541.2482348294. The cubic root of 30705432 is about 313.1398967021.

The spelling of 30705432 in words is "thirty million, seven hundred five thousand, four hundred thirty-two".