34031004 has 48 divisors (see below), whose sum is σ = 91392000. Its totient is φ = 9654336.

The previous prime is 34030981. The next prime is 34031027. The reversal of 34031004 is 40013043.

It is an interprime number because it is at equal distance from previous prime (34030981) and next prime (34031027).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11157 + ... + 13875.

It is an arithmetic number, because the mean of its divisors is an integer number (1904000).

Almost surely, 2^34031004 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 34031004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696000).

34031004 is an abundant number, since it is smaller than the sum of its proper divisors (57360996).

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

34031004 is a wasteful number, since it uses less digits than its factorization.

34031004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2880 counting only the distinct ones).

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

The square root of 34031004 is about 5833.6098601123. The cubic root of 34031004 is about 324.0596217058.

Adding to 34031004 its reverse (40013043), we get a palindrome (74044047).

The spelling of 34031004 in words is "thirty-four million, thirty-one thousand, four".