345117052 has 48 divisors (see below), whose sum is σ = 729308160. Its totient is φ = 139753152.

The previous prime is 345116987. The next prime is 345117089. The reversal of 345117052 is 250711543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 345117052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33643 + ... + 42685.

It is an arithmetic number, because the mean of its divisors is an integer number (15193920).

Almost surely, 2^345117052 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 345117052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364654080).

345117052 is an abundant number, since it is smaller than the sum of its proper divisors (384191108).

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

345117052 is a wasteful number, since it uses less digits than its factorization.

345117052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9130 (or 9128 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 345117052 is about 18577.3262877089. The cubic root of 345117052 is about 701.4372185559.

Adding to 345117052 its reverse (250711543), we get a palindrome (595828595).

It can be divided in two parts, 3451 and 17052, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 345117052 in words is "three hundred forty-five million, one hundred seventeen thousand, fifty-two".