340291809 has 81 divisors (see below), whose sum is σ = 598958451. Its totient is φ = 185945760.

The previous prime is 340291781. The next prime is 340291813. The reversal of 340291809 is 908192043.

The square root of 340291809 is 18447.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50339025 + 289952784 = 7095^2 + 17028^2 .

It is a de Polignac number, because none of the positive numbers 2^k-340291809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (340291859) 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 in 80 ways as a sum of consecutive naturals, for example, 7913742 + ... + 7913784.

Almost surely, 2^340291809 is an apocalyptic number.

340291809 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

340291809 is the 18447-th square number.

340291809 is the 9224-th centered octagonal number.

It is an amenable number.

340291809 is a deficient number, since it is larger than the sum of its proper divisors (258666642).

340291809 is a wasteful number, since it uses less digits than its factorization.

340291809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 340291809 is about 698.1528231099.

Multiplying 340291809 by its sum of digits (36), we get a square (12250505124 = 110682²).

The spelling of 340291809 in words is "three hundred forty million, two hundred ninety-one thousand, eight hundred nine".