345282288 has 80 divisors (see below), whose sum is σ = 1011185280. Its totient is φ = 100645632.

The previous prime is 345282283. The next prime is 345282293. The reversal of 345282288 is 882282543.

It is an interprime number because it is at equal distance from previous prime (345282283) and next prime (345282293).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345282281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2706 + ... + 26417.

It is an arithmetic number, because the mean of its divisors is an integer number (12639816).

Almost surely, 2^345282288 is an apocalyptic number.

345282288 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345282288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505592640).

345282288 is an abundant number, since it is smaller than the sum of its proper divisors (665902992).

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

345282288 is a wasteful number, since it uses less digits than its factorization.

345282288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29166 (or 29160 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 345282288 is about 18581.7730047485. The cubic root of 345282288 is about 701.5491459799.

The spelling of 345282288 in words is "three hundred forty-five million, two hundred eighty-two thousand, two hundred eighty-eight".