30434880 has 168 divisors, whose sum is σ = 112580928. Its totient is φ = 6945792.

The previous prime is 30434869. The next prime is 30434881. The reversal of 30434880 is 8843403.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×30434880² = 1852563841228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30434881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46717 + ... + 47363.

Almost surely, 2^30434880 is an apocalyptic number.

30434880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56290464).

30434880 is an abundant number, since it is smaller than the sum of its proper divisors (82146048).

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

30434880 is a wasteful number, since it uses less digits than its factorization.

30434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 30434880 is about 5516.7816705032. The cubic root of 30434880 is about 312.2174683731.

The spelling of 30434880 in words is "thirty million, four hundred thirty-four thousand, eight hundred eighty".