345442240 has 112 divisors (see below), whose sum is σ = 966520800. Its totient is φ = 115937280.

The previous prime is 345442199. The next prime is 345442241. The reversal of 345442240 is 42244543.

It is a junction number, because it is equal to n+sod(n) for n = 345442199 and 345442208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345442241) 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, 41986 + ... + 49534.

It is an arithmetic number, because the mean of its divisors is an integer number (8629650).

Almost surely, 2^345442240 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 345442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483260400).

345442240 is an abundant number, since it is smaller than the sum of its proper divisors (621078560).

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

345442240 is a wasteful number, since it uses less digits than its factorization.

345442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 345442240 is about 18586.0765090430. The cubic root of 345442240 is about 701.6574601232.

Adding to 345442240 its reverse (42244543), we get a palindrome (387686783).

The spelling of 345442240 in words is "three hundred forty-five million, four hundred forty-two thousand, two hundred forty".