30342400 has 108 divisors (see below), whose sum is σ = 82119744. Its totient is φ = 11008000.

The previous prime is 30342383. The next prime is 30342407. The reversal of 30342400 is 424303.

It is a super-2 number, since 2×30342400² = 1841322475520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30342407) 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 11 ways as a sum of consecutive naturals, for example, 70185 + ... + 70615.

It is an arithmetic number, because the mean of its divisors is an integer number (760368).

Almost surely, 2^30342400 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 30342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41059872).

30342400 is an abundant number, since it is smaller than the sum of its proper divisors (51777344).

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

30342400 is a wasteful number, since it uses less digits than its factorization.

30342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 30342400 is about 5508.3935952326. The cubic root of 30342400 is about 311.9009108958.

Adding to 30342400 its reverse (424303), we get a palindrome (30766703).

The spelling of 30342400 in words is "thirty million, three hundred forty-two thousand, four hundred".