345014120 has 64 divisors (see below), whose sum is σ = 849139200. Its totient is φ = 125121280.

The previous prime is 345014101. The next prime is 345014129. The reversal of 345014120 is 21410543.

345014120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 345014092 and 345014101.

It is not an unprimeable number, because it can be changed into a prime (345014129) 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, 209942 + ... + 211578.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^345014120 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 345014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

345014120 is an abundant number, since it is smaller than the sum of its proper divisors (504125080).

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

345014120 is a wasteful number, since it uses less digits than its factorization.

345014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 345014120 is about 18574.5557147405. Note that the first 3 decimals coincide. The cubic root of 345014120 is about 701.3674765032.

Adding to 345014120 its reverse (21410543), we get a palindrome (366424663).

The spelling of 345014120 in words is "three hundred forty-five million, fourteen thousand, one hundred twenty".