320346 has 36 divisors (see below), whose sum is σ = 768222. Its totient is φ = 95904.

The previous prime is 320339. The next prime is 320377. The reversal of 320346 is 643023.

320346 is a `hidden beast` number, since 320 + 346 = 666.

320346 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 314721 + 5625 = 561^2 + 75^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320346.

It is an unprimeable number.

320346 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8640 + ... + 8676.

2³²⁰³⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384111).

320346 is an abundant number, since it is smaller than the sum of its proper divisors (447876).

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

320346 is a wasteful number, since it uses less digits than its factorization.

320346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 320346 is about 565.9911660088. The cubic root of 320346 is about 68.4236811406.

Adding to 320346 its reverse (643023), we get a palindrome (963369).

It can be divided in two parts, 3203 and 46, that added together give a square (3249 = 57²).

The spelling of 320346 in words is "three hundred twenty thousand, three hundred forty-six".