31034016 has 144 divisors (see below), whose sum is σ = 98882784. Its totient is φ = 9517824.

The previous prime is 31033999. The next prime is 31034021. The reversal of 31034016 is 61043013.

31034016 is a `hidden beast` number, since 310 + 340 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×31034016² = 1926220298176512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 31034016.

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 23 ways as a sum of consecutive naturals, for example, 100935 + ... + 101241.

It is an arithmetic number, because the mean of its divisors is an integer number (686686).

Almost surely, 2^31034016 is an apocalyptic number.

31034016 is a gapful number since it is divisible by the number (36) 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 31034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49441392).

31034016 is an abundant number, since it is smaller than the sum of its proper divisors (67848768).

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

31034016 is a wasteful number, since it uses less digits than its factorization.

31034016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 31034016 is about 5570.8182522857. The cubic root of 31034016 is about 314.2529234581.

Adding to 31034016 its reverse (61043013), we get a palindrome (92077029).

The spelling of 31034016 in words is "thirty-one million, thirty-four thousand, sixteen".