345240 has 96 divisors (see below), whose sum is σ = 1291680. Its totient is φ = 78336.

The previous prime is 345229. The next prime is 345259. The reversal of 345240 is 42543.

345240 = T₈₅ + T₈₆ + ... + T₁₃₈.

345240 = 22² + 23² + ... + 101².

It is a happy number.

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

It is an Ulam number.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

345240 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 2452 + ... + 2588.

It is an arithmetic number, because the mean of its divisors is an integer number (13455).

2³⁴⁵²⁴⁰ is an apocalyptic number.

345240 is a gapful number since it is divisible by the number (30) 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 345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645840).

345240 is an abundant number, since it is smaller than the sum of its proper divisors (946440).

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

345240 is a wasteful number, since it uses less digits than its factorization.

345240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 345240 is about 587.5712722726. The cubic root of 345240 is about 70.1520504370.

Adding to 345240 its reverse (42543), we get a palindrome (387783).

It can be divided in two parts, 345 and 240, that added together give a palindrome (585).

The spelling of 345240 in words is "three hundred forty-five thousand, two hundred forty".