345133824 has 144 divisors (see below), whose sum is σ = 1074915072. Its totient is φ = 96251904.

The previous prime is 345133823. The next prime is 345133829. The reversal of 345133824 is 428331543.

345133824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×345133824³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345133823) 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, 230422 + ... + 231914.

It is an arithmetic number, because the mean of its divisors is an integer number (7464688).

Almost surely, 2^345133824 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 345133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537457536).

345133824 is an abundant number, since it is smaller than the sum of its proper divisors (729781248).

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

345133824 is a wasteful number, since it uses less digits than its factorization.

345133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1548 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 345133824 is about 18577.7776927166. Note that the first 3 decimals coincide. The cubic root of 345133824 is about 701.4485811882.

The spelling of 345133824 in words is "three hundred forty-five million, one hundred thirty-three thousand, eight hundred twenty-four".