340312993 has 2 divisors, whose sum is σ = 340312994. Its totient is φ = 340312992.

The previous prime is 340312937. The next prime is 340313023. The reversal of 340312993 is 399213043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335915584 + 4397409 = 18328^2 + 2097^2 .

It is a cyclic number.

It is not a de Polignac number, because 340312993 - 2²¹ = 338215841 is a prime.

It is not a weakly prime, because it can be changed into another prime (340313993) by changing a digit.

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 as a sum of consecutive naturals, namely, 170156496 + 170156497.

It is an arithmetic number, because the mean of its divisors is an integer number (170156497).

Almost surely, 2^340312993 is an apocalyptic number.

It is an amenable number.

340312993 is a deficient number, since it is larger than the sum of its proper divisors (1).

340312993 is an equidigital number, since it uses as much as digits as its factorization.

340312993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 340312993 is about 18447.5741765686. The cubic root of 340312993 is about 698.1673100513.

The spelling of 340312993 in words is "three hundred forty million, three hundred twelve thousand, nine hundred ninety-three".