30326400 has 336 divisors, whose sum is σ = 120962310. Its totient is φ = 7464960.

The previous prime is 30326389. The next prime is 30326447. The reversal of 30326400 is 462303.

It can be written as a sum of positive squares in 3 ways, for example, as 16842816 + 13483584 = 4104^2 + 3672^2 .

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

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 2332794 + ... + 2332806.

Almost surely, 2^30326400 is an apocalyptic number.

30326400 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 30326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60481155).

30326400 is an abundant number, since it is smaller than the sum of its proper divisors (90635910).

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

30326400 is an equidigital number, since it uses as much as digits as its factorization.

30326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30326400 is about 5506.9410746802. The cubic root of 30326400 is about 311.8460779227.

Adding to 30326400 its reverse (462303), we get a palindrome (30788703).

The spelling of 30326400 in words is "thirty million, three hundred twenty-six thousand, four hundred".