34293840 has 160 divisors (see below), whose sum is σ = 123206400. Its totient is φ = 7729152.

The previous prime is 34293839. The next prime is 34293877. The reversal of 34293840 is 4839243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230086 + ... + 230234.

It is an arithmetic number, because the mean of its divisors is an integer number (770040).

Almost surely, 2^34293840 is an apocalyptic number.

34293840 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 34293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61603200).

34293840 is an abundant number, since it is smaller than the sum of its proper divisors (88912560).

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

34293840 is a wasteful number, since it uses less digits than its factorization.

34293840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 34293840 is about 5856.0942615364. The cubic root of 34293840 is about 324.8917667209.

The spelling of 34293840 in words is "thirty-four million, two hundred ninety-three thousand, eight hundred forty".