30311400 has 144 divisors (see below), whose sum is σ = 109412640. Its totient is φ = 6921600.

The previous prime is 30311371. The next prime is 30311417. The reversal of 30311400 is 411303.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 35 ways as a sum of consecutive naturals, for example, 28885 + ... + 29915.

It is an arithmetic number, because the mean of its divisors is an integer number (759810).

Almost surely, 2^30311400 is an apocalyptic number.

30311400 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 30311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54706320).

30311400 is an abundant number, since it is smaller than the sum of its proper divisors (79101240).

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

30311400 is a wasteful number, since it uses less digits than its factorization.

30311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 30311400 is about 5505.5789886260. The cubic root of 30311400 is about 311.7946544918.

Adding to 30311400 its reverse (411303), we get a palindrome (30722703).

The spelling of 30311400 in words is "thirty million, three hundred eleven thousand, four hundred".