30431400 has 96 divisors (see below), whose sum is σ = 95871840. Its totient is φ = 7983360.

The previous prime is 30431371. The next prime is 30431417. The reversal of 30431400 is 413403.

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 30431400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39822 + ... + 40578.

It is an arithmetic number, because the mean of its divisors is an integer number (998665).

Almost surely, 2^30431400 is an apocalyptic number.

30431400 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 30431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47935920).

30431400 is an abundant number, since it is smaller than the sum of its proper divisors (65440440).

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

30431400 is a wasteful number, since it uses less digits than its factorization.

30431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 834 counting only the distinct ones).

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

The square root of 30431400 is about 5516.4662602068. The cubic root of 30431400 is about 312.2055680118.

Adding to 30431400 its reverse (413403), we get a palindrome (30844803).

The spelling of 30431400 in words is "thirty million, four hundred thirty-one thousand, four hundred".