34083240 has 128 divisors (see below), whose sum is σ = 109175040. Its totient is φ = 8493056.

The previous prime is 34083239. The next prime is 34083241. The reversal of 34083240 is 4238043.

It is an interprime number because it is at equal distance from previous prime (34083239) and next prime (34083241).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34083240.

It is not an unprimeable number, because it can be changed into a prime (34083241) by changing a digit.

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, 146164 + ... + 146396.

It is an arithmetic number, because the mean of its divisors is an integer number (852930).

Almost surely, 2^34083240 is an apocalyptic number.

34083240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34083240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54587520).

34083240 is an abundant number, since it is smaller than the sum of its proper divisors (75091800).

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

34083240 is a wasteful number, since it uses less digits than its factorization.

34083240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

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

The square root of 34083240 is about 5838.0853025628. The cubic root of 34083240 is about 324.2253423995.

The spelling of 34083240 in words is "thirty-four million, eighty-three thousand, two hundred forty".