340342560 has 120 divisors (see below), whose sum is σ = 1201171356. Its totient is φ = 90754560.

The previous prime is 340342543. The next prime is 340342577. The reversal of 340342560 is 65243043.

340342560 is a `hidden beast` number, since 3 + 403 + 4 + 256 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (340342543) and next prime (340342577).

It can be written as a sum of positive squares in 2 ways, for example, as 282643344 + 57699216 = 16812^2 + 7596^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171 + ... + 26090.

Almost surely, 2^340342560 is an apocalyptic number.

340342560 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 340342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600585678).

340342560 is an abundant number, since it is smaller than the sum of its proper divisors (860828796).

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

340342560 is a wasteful number, since it uses less digits than its factorization.

340342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26288 (or 26271 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 340342560 is about 18448.3755382418. The cubic root of 340342560 is about 698.1875288063.

The spelling of 340342560 in words is "three hundred forty million, three hundred forty-two thousand, five hundred sixty".