30034200 has 96 divisors (see below), whose sum is σ = 106421760. Its totient is φ = 6864000.

The previous prime is 30034183. The next prime is 30034201. The reversal of 30034200 is 243003.

30034200 = 49² + 50² + ... + 448².

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30034201) 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, 625 + ... + 7775.

It is an arithmetic number, because the mean of its divisors is an integer number (1108560).

Almost surely, 2^30034200 is an apocalyptic number.

30034200 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 30034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53210880).

30034200 is an abundant number, since it is smaller than the sum of its proper divisors (76387560).

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

30034200 is a wasteful number, since it uses less digits than its factorization.

30034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 30034200 is about 5480.3467043610. The cubic root of 30034200 is about 310.8412805906.

Adding to 30034200 its reverse (243003), we get a palindrome (30277203).

The spelling of 30034200 in words is "thirty million, thirty-four thousand, two hundred".