30314400 has 144 divisors (see below), whose sum is σ = 104618304. Its totient is φ = 7598080.

The previous prime is 30314399. The next prime is 30314407. The reversal of 30314400 is 441303.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30314400.

It is not an unprimeable number, because it can be changed into a prime (30314407) 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 23 ways as a sum of consecutive naturals, for example, 40429 + ... + 41171.

It is an arithmetic number, because the mean of its divisors is an integer number (726516).

Almost surely, 2^30314400 is an apocalyptic number.

30314400 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 30314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52309152).

30314400 is an abundant number, since it is smaller than the sum of its proper divisors (74303904).

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

30314400 is a wasteful number, since it uses less digits than its factorization.

30314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30314400 is about 5505.8514327940. The cubic root of 30314400 is about 311.8049405350.

Adding to 30314400 its reverse (441303), we get a palindrome (30755703).

The spelling of 30314400 in words is "thirty million, three hundred fourteen thousand, four hundred".