340416306 has 24 divisors (see below), whose sum is σ = 738557820. Its totient is φ = 113319936.

The previous prime is 340416281. The next prime is 340416341. The reversal of 340416306 is 603614043.

340416306 is a `hidden beast` number, since 340 + 4 + 16 + 306 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 312759225 + 27657081 = 17685^2 + 5259^2 .

It is a super-2 number, since 2×340416306² = 231766522781371272, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 340416306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1546 + ... + 26138.

Almost surely, 2^340416306 is an apocalyptic number.

340416306 is an abundant number, since it is smaller than the sum of its proper divisors (398141514).

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

340416306 is a wasteful number, since it uses less digits than its factorization.

340416306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25370 (or 25367 counting only the distinct ones).

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

The square root of 340416306 is about 18450.3741425479. The cubic root of 340416306 is about 698.2379533149.

The spelling of 340416306 in words is "three hundred forty million, four hundred sixteen thousand, three hundred six".