345514240 has 72 divisors (see below), whose sum is σ = 871234560. Its totient is φ = 130922496.

The previous prime is 345514237. The next prime is 345514327. The reversal of 345514240 is 42415543.

It is a junction number, because it is equal to n+sod(n) for n = 345514199 and 345514208.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 17217 + ... + 31423.

It is an arithmetic number, because the mean of its divisors is an integer number (12100480).

Almost surely, 2^345514240 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 345514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435617280).

345514240 is an abundant number, since it is smaller than the sum of its proper divisors (525720320).

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

345514240 is a wasteful number, since it uses less digits than its factorization.

345514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14247 (or 14233 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 345514240 is about 18588.0133419362. The cubic root of 345514240 is about 701.7062052020.

Adding to 345514240 its reverse (42415543), we get a palindrome (387929783).

The spelling of 345514240 in words is "three hundred forty-five million, five hundred fourteen thousand, two hundred forty".