340353 has 12 divisors (see below), whose sum is σ = 529620. Its totient is φ = 209376.

The previous prime is 340339. The next prime is 340369. The reversal of 340353 is 353043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 173889 + 166464 = 417^2 + 408^2 .

It is not a de Polignac number, because 340353 - 2⁴ = 340337 is a prime.

It is an Ulam number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 340353.

It is not an unprimeable number, because it can be changed into a prime (340393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (44135).

2³⁴⁰³⁵³ is an apocalyptic number.

It is an amenable number.

340353 is a deficient number, since it is larger than the sum of its proper divisors (189267).

340353 is a wasteful number, since it uses less digits than its factorization.

340353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 340353 is about 583.3978059609. The cubic root of 340353 is about 69.8194667695.

Adding to 340353 its reverse (353043), we get a palindrome (693396).

The spelling of 340353 in words is "three hundred forty thousand, three hundred fifty-three".