345300032 has 112 divisors (see below), whose sum is σ = 875629440. Its totient is φ = 131174400.

The previous prime is 345300029. The next prime is 345300049. The reversal of 345300032 is 230003543.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×345300032² = 238464224198402048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345299977 and 345300013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201194 + ... + 202902.

It is an arithmetic number, because the mean of its divisors is an integer number (7818120).

Almost surely, 2^345300032 is an apocalyptic number.

345300032 is a gapful number since it is divisible by the number (32) 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 345300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437814720).

345300032 is an abundant number, since it is smaller than the sum of its proper divisors (530329408).

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

345300032 is a wasteful number, since it uses less digits than its factorization.

345300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 345300032 is about 18582.2504557441. The cubic root of 345300032 is about 701.5611632724.

Adding to 345300032 its reverse (230003543), we get a palindrome (575303575).

The spelling of 345300032 in words is "three hundred forty-five million, three hundred thousand, thirty-two".