30034368 has 224 divisors, whose sum is σ = 109240320. Its totient is φ = 7879680.

The previous prime is 30034351. The next prime is 30034369. The reversal of 30034368 is 86343003.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×30034368² = 1804126522318848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30034369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157153 + ... + 157343.

It is an arithmetic number, because the mean of its divisors is an integer number (487680).

Almost surely, 2^30034368 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 30034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54620160).

30034368 is an abundant number, since it is smaller than the sum of its proper divisors (79205952).

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

30034368 is a wasteful number, since it uses less digits than its factorization.

30034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30034368 is about 5480.3620318369. The cubic root of 30034368 is about 310.8418601658.

The spelling of 30034368 in words is "thirty million, thirty-four thousand, three hundred sixty-eight".