30946272 has 48 divisors (see below), whose sum is σ = 92840832. Its totient is φ = 8841600.

The previous prime is 30946271. The next prime is 30946297. The reversal of 30946272 is 27264903.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30946271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22354 + ... + 23697.

It is an arithmetic number, because the mean of its divisors is an integer number (1934184).

Almost surely, 2^30946272 is an apocalyptic number.

30946272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30946272 is an abundant number, since it is smaller than the sum of its proper divisors (61894560).

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

30946272 is a wasteful number, since it uses less digits than its factorization.

30946272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46071 (or 46063 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 30946272 is about 5562.9373535930. The cubic root of 30946272 is about 313.9564763129.

The spelling of 30946272 in words is "thirty million, nine hundred forty-six thousand, two hundred seventy-two".