34241004 has 144 divisors (see below), whose sum is σ = 104832000. Its totient is φ = 9412704.

The previous prime is 34241003. The next prime is 34241033. The reversal of 34241004 is 40014243.

34241004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (34241003) 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 47 ways as a sum of consecutive naturals, for example, 580327 + ... + 580385.

It is an arithmetic number, because the mean of its divisors is an integer number (728000).

Almost surely, 2^34241004 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 34241004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416000).

34241004 is an abundant number, since it is smaller than the sum of its proper divisors (70590996).

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

34241004 is a wasteful number, since it uses less digits than its factorization.

34241004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34241004 is about 5851.5813247361. The cubic root of 34241004 is about 324.7248290169.

Adding to 34241004 its reverse (40014243), we get a palindrome (74255247).

The spelling of 34241004 in words is "thirty-four million, two hundred forty-one thousand, four".