31042000 has 160 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 10496000.

The previous prime is 31041979. The next prime is 31042007. The reversal of 31042000 is 24013.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31042007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 373959 + ... + 374041.

Almost surely, 2^31042000 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 31042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

31042000 is an abundant number, since it is smaller than the sum of its proper divisors (56702384).

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

31042000 is a wasteful number, since it uses less digits than its factorization.

31042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 31042000 is about 5571.5347975221. The cubic root of 31042000 is about 314.2798700212.

Adding to 31042000 its reverse (24013), we get a palindrome (31066013).

The spelling of 31042000 in words is "thirty-one million, forty-two thousand".