340368 has 40 divisors (see below), whose sum is σ = 1005888. Its totient is φ = 97152.

The previous prime is 340339. The next prime is 340369. The reversal of 340368 is 863043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 340368.

It is not an unprimeable number, because it can be changed into a prime (340369) 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 7 ways as a sum of consecutive naturals, for example, 171 + ... + 842.

2³⁴⁰³⁶⁸ is an apocalyptic number.

It is an amenable number.

340368 is an abundant number, since it is smaller than the sum of its proper divisors (665520).

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

340368 is a wasteful number, since it uses less digits than its factorization.

340368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 340368 is about 583.4106615413. The cubic root of 340368 is about 69.8204924464.

It can be divided in two parts, 3 and 40368, that multiplied together give a square (121104 = 348²).

The spelling of 340368 in words is "three hundred forty thousand, three hundred sixty-eight".