31434208 has 96 divisors (see below), whose sum is σ = 72606240. Its totient is φ = 13271040.

The previous prime is 31434203. The next prime is 31434209. The reversal of 31434208 is 80243413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324016 + ... + 324112.

It is an arithmetic number, because the mean of its divisors is an integer number (756315).

Almost surely, 2^31434208 is an apocalyptic number.

31434208 is a gapful number since it is divisible by the number (38) 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 31434208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36303120).

31434208 is an abundant number, since it is smaller than the sum of its proper divisors (41172032).

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

31434208 is a wasteful number, since it uses less digits than its factorization.

31434208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 31434208 is about 5606.6217992656. The cubic root of 31434208 is about 315.5979504708.

The spelling of 31434208 in words is "thirty-one million, four hundred thirty-four thousand, two hundred eight".