340093440 has 240 divisors, whose sum is σ = 1220848200. Its totient is φ = 87392256.

The previous prime is 340093417. The next prime is 340093451. The reversal of 340093440 is 44390043.

It can be written as a sum of positive squares in 4 ways, for example, as 313714944 + 26378496 = 17712^2 + 5136^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667906 + ... + 668414.

Almost surely, 2^340093440 is an apocalyptic number.

340093440 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 340093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610424100).

340093440 is an abundant number, since it is smaller than the sum of its proper divisors (880754760).

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

340093440 is a wasteful number, since it uses less digits than its factorization.

340093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 340093440 is about 18441.6224882736. The cubic root of 340093440 is about 698.0171368223.

The spelling of 340093440 in words is "three hundred forty million, ninety-three thousand, four hundred forty".