30350400 has 84 divisors (see below), whose sum is σ = 99590352. Its totient is φ = 8092160.

The previous prime is 30350387. The next prime is 30350431. The reversal of 30350400 is 405303.

It is a super-2 number, since 2×30350400² = 1842293560320000, which contains 22 as substring.

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 30350400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1639 + ... + 7961.

Almost surely, 2^30350400 is an apocalyptic number.

30350400 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 30350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795176).

30350400 is an abundant number, since it is smaller than the sum of its proper divisors (69239952).

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

30350400 is a wasteful number, since it uses less digits than its factorization.

30350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 30350400 is about 5509.1197118959. The cubic root of 30350400 is about 311.9283201540.

Adding to 30350400 its reverse (405303), we get a palindrome (30755703).

The spelling of 30350400 in words is "thirty million, three hundred fifty thousand, four hundred".