30813300 has 216 divisors, whose sum is σ = 113562176. Its totient is φ = 6842880.

The previous prime is 30813271. The next prime is 30813301. The reversal of 30813300 is 331803.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30813301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422064 + ... + 422136.

Almost surely, 2^30813300 is an apocalyptic number.

30813300 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 30813300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56781088).

30813300 is an abundant number, since it is smaller than the sum of its proper divisors (82748876).

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

30813300 is a wasteful number, since it uses less digits than its factorization.

30813300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30813300 is about 5550.9728877018. The cubic root of 30813300 is about 313.5061543476.

It can be divided in two parts, 30813 and 300, that added together give a palindrome (31113).

The spelling of 30813300 in words is "thirty million, eight hundred thirteen thousand, three hundred".