340986240 has 256 divisors, whose sum is σ = 1380672000. Its totient is φ = 77912064.

The previous prime is 340986223. The next prime is 340986257. The reversal of 340986240 is 42689043.

It is a happy number.

340986240 is a `hidden beast` number, since 3 + 409 + 8 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (340986223) and next prime (340986257).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340986195 and 340986204.

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, 119551 + ... + 122369.

It is an arithmetic number, because the mean of its divisors is an integer number (5393250).

Almost surely, 2^340986240 is an apocalyptic number.

340986240 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 340986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690336000).

340986240 is an abundant number, since it is smaller than the sum of its proper divisors (1039685760).

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

340986240 is a wasteful number, since it uses less digits than its factorization.

340986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 340986240 is about 18465.8127359724. The cubic root of 340986240 is about 698.6274055465.

The spelling of 340986240 in words is "three hundred forty million, nine hundred eighty-six thousand, two hundred forty".