34241000 has 64 divisors (see below), whose sum is σ = 81179280. Its totient is φ = 13516800.

The previous prime is 34240993. The next prime is 34241003. The reversal of 34241000 is 14243.

It can be written as a sum of positive squares in 8 ways, for example, as 391876 + 33849124 = 626^2 + 5818^2 .

It is not an unprimeable number, because it can be changed into a prime (34241003) 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, 96824 + ... + 97176.

Almost surely, 2^34241000 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 34241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40589640).

34241000 is an abundant number, since it is smaller than the sum of its proper divisors (46938280).

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

34241000 is a wasteful number, since it uses less digits than its factorization.

34241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 34241000 is about 5851.5809829481. The cubic root of 34241000 is about 324.7248163723.

Adding to 34241000 its reverse (14243), we get a palindrome (34255243).

The spelling of 34241000 in words is "thirty-four million, two hundred forty-one thousand".