34240000 has 100 divisors (see below), whose sum is σ = 86288004. Its totient is φ = 13568000.

The previous prime is 34239983. The next prime is 34240007. The reversal of 34240000 is 4243.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34240007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319947 + ... + 320053.

Almost surely, 2^34240000 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 34240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43144002).

34240000 is an abundant number, since it is smaller than the sum of its proper divisors (52048004).

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

34240000 is an frugal number, since it uses more digits than its factorization.

34240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 34240000 is about 5851.4955353311. The cubic root of 34240000 is about 324.7216551720.

Adding to 34240000 its reverse (4243), we get a palindrome (34244243).

The spelling of 34240000 in words is "thirty-four million, two hundred forty thousand".