31404200 has 48 divisors (see below), whose sum is σ = 76200480. Its totient is φ = 12013760.

The previous prime is 31404167. The next prime is 31404211. The reversal of 31404200 is 240413.

31404200 = T₁₆₄₁ + T₁₆₄₂ + ... + T₁₆₆₃.

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 11 ways as a sum of consecutive naturals, for example, 1187 + ... + 8013.

It is an arithmetic number, because the mean of its divisors is an integer number (1587510).

Almost surely, 2^31404200 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 31404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38100240).

31404200 is an abundant number, since it is smaller than the sum of its proper divisors (44796280).

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

31404200 is a wasteful number, since it uses less digits than its factorization.

31404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 31404200 is about 5603.9450389882. The cubic root of 31404200 is about 315.4974922006.

Adding to 31404200 its reverse (240413), we get a palindrome (31644613).

The spelling of 31404200 in words is "thirty-one million, four hundred four thousand, two hundred".