345147560 has 64 divisors (see below), whose sum is σ = 807440400. Its totient is φ = 132622336.

The previous prime is 345147533. The next prime is 345147563. The reversal of 345147560 is 65741543.

It can be written as a sum of positive squares in 8 ways, for example, as 125574436 + 219573124 = 11206^2 + 14818^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 345147560.

It is not an unprimeable number, because it can be changed into a prime (345147563) 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, 269642 + ... + 270918.

Almost surely, 2^345147560 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 345147560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403720200).

345147560 is an abundant number, since it is smaller than the sum of its proper divisors (462292840).

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

345147560 is a wasteful number, since it uses less digits than its factorization.

345147560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 345147560 is about 18578.1473780353. The cubic root of 345147560 is about 701.4578867283.

The spelling of 345147560 in words is "three hundred forty-five million, one hundred forty-seven thousand, five hundred sixty".