345268 has 48 divisors (see below), whose sum is σ = 806400. Its totient is φ = 125280.

The previous prime is 345263. The next prime is 345271. The reversal of 345268 is 862543.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5823 + ... + 5881.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

345268 is a Friedman number, since it can be written as 4^6+52*3^8, using all its digits and the basic arithmetic operations.

2³⁴⁵²⁶⁸ is an apocalyptic number.

345268 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

345268 is an abundant number, since it is smaller than the sum of its proper divisors (461132).

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

345268 is a wasteful number, since it uses less digits than its factorization.

345268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 345268 is about 587.5950986862. The cubic root of 345268 is about 70.1539468997.

The spelling of 345268 in words is "three hundred forty-five thousand, two hundred sixty-eight".