345320 has 32 divisors (see below), whose sum is σ = 793800. Its totient is φ = 135168.

The previous prime is 345311. The next prime is 345329. The reversal of 345320 is 23543.

345320 = T₅₀ + T₅₁ + ... + T₁₂₉.

It is an interprime number because it is at equal distance from previous prime (345311) and next prime (345329).

It can be written as a sum of positive squares in 4 ways, for example, as 217156 + 128164 = 466^2 + 358^2 .

It is not an unprimeable number, because it can be changed into a prime (345329) by changing a digit.

345320 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 7 ways as a sum of consecutive naturals, for example, 3512 + ... + 3608.

2³⁴⁵³²⁰ 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 345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396900).

345320 is an abundant number, since it is smaller than the sum of its proper divisors (448480).

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

345320 is a wasteful number, since it uses less digits than its factorization.

345320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 345320 is about 587.6393451770. The cubic root of 345320 is about 70.1574686298.

Adding to 345320 its reverse (23543), we get a palindrome (368863).

The spelling of 345320 in words is "three hundred forty-five thousand, three hundred twenty".