30393216 has 96 divisors (see below), whose sum is σ = 99980400. Its totient is φ = 8681472.

The previous prime is 30393211. The next prime is 30393227. The reversal of 30393216 is 61239303.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 30393216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30393211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6180 + ... + 9948.

Almost surely, 2^30393216 is an apocalyptic number.

30393216 is a gapful number since it is divisible by the number (36) 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 30393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49990200).

30393216 is an abundant number, since it is smaller than the sum of its proper divisors (69587184).

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

30393216 is a wasteful number, since it uses less digits than its factorization.

30393216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 30393216 is about 5513.0042626503. The cubic root of 30393216 is about 312.0749326924.

The spelling of 30393216 in words is "thirty million, three hundred ninety-three thousand, two hundred sixteen".