34240416 has 144 divisors (see below), whose sum is σ = 108591840. Its totient is φ = 9408000.

The previous prime is 34240403. The next prime is 34240421. The reversal of 34240416 is 61404243.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 136291 + ... + 136541.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^34240416 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 34240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54295920).

34240416 is an abundant number, since it is smaller than the sum of its proper divisors (74351424).

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

34240416 is a wasteful number, since it uses less digits than its factorization.

34240416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34240416 is about 5851.5310816914. The cubic root of 34240416 is about 324.7229702388.

Adding to 34240416 its reverse (61404243), we get a palindrome (95644659).

The spelling of 34240416 in words is "thirty-four million, two hundred forty thousand, four hundred sixteen".