340768 has 24 divisors (see below), whose sum is σ = 701568. Its totient is φ = 162624.

The previous prime is 340757. The next prime is 340777. The reversal of 340768 is 867043.

340768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340768² = 232245659648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 505 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (29232).

2³⁴⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350784).

340768 is an abundant number, since it is smaller than the sum of its proper divisors (360800).

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

340768 is a wasteful number, since it uses less digits than its factorization.

340768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 340768 is about 583.7533725813. The cubic root of 340768 is about 69.8478327210.

The spelling of 340768 in words is "three hundred forty thousand, seven hundred sixty-eight".