34120240 has 160 divisors (see below), whose sum is σ = 102850560. Its totient is φ = 10214400.

The previous prime is 34120223. The next prime is 34120279. The reversal of 34120240 is 4202143.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178545 + ... + 178735.

It is an arithmetic number, because the mean of its divisors is an integer number (642816).

Almost surely, 2^34120240 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 34120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51425280).

34120240 is an abundant number, since it is smaller than the sum of its proper divisors (68730320).

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

34120240 is a wasteful number, since it uses less digits than its factorization.

34120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34120240 is about 5841.2532901767. The cubic root of 34120240 is about 324.3426238874.

Adding to 34120240 its reverse (4202143), we get a palindrome (38322383).

The spelling of 34120240 in words is "thirty-four million, one hundred twenty thousand, two hundred forty".