340042560 has 224 divisors, whose sum is σ = 1268894592. Its totient is φ = 76062720.

The previous prime is 340042559. The next prime is 340042597. The reversal of 340042560 is 65240043.

It is a super-2 number, since 2×340042560² = 231257885222707200, which contains 22 as substring.

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 340042560.

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, 136042 + ... + 138518.

It is an arithmetic number, because the mean of its divisors is an integer number (5664708).

Almost surely, 2^340042560 is an apocalyptic number.

340042560 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 340042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634447296).

340042560 is an abundant number, since it is smaller than the sum of its proper divisors (928852032).

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

340042560 is a wasteful number, since it uses less digits than its factorization.

340042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 340042560 is about 18440.2429485080. The cubic root of 340042560 is about 697.9823259154.

The spelling of 340042560 in words is "three hundred forty million, forty-two thousand, five hundred sixty".