268344 has 24 divisors (see below), whose sum is σ = 726960. Its totient is φ = 89424.

The previous prime is 268343. The next prime is 268403. The reversal of 268344 is 443862.

268344 = T₂₅₅ + T₂₅₆ + ... + T₂₆₂.

268344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1792 + ... + 1935.

It is an arithmetic number, because the mean of its divisors is an integer number (30290).

2²⁶⁸³⁴⁴ is an apocalyptic number.

268344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268344 is an abundant number, since it is smaller than the sum of its proper divisors (458616).

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

268344 is a wasteful number, since it uses less digits than its factorization.

268344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3732 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 268344 is about 518.0193046596. The cubic root of 268344 is about 64.5006309655.

The spelling of 268344 in words is "two hundred sixty-eight thousand, three hundred forty-four".