283306720 has 96 divisors (see below), whose sum is σ = 722040480. Its totient is φ = 104693760.

The previous prime is 283306711. The next prime is 283306733. The reversal of 283306720 is 27603382.

283306720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 123504 + ... + 125776.

It is an arithmetic number, because the mean of its divisors is an integer number (7521255).

Almost surely, 2^283306720 is an apocalyptic number.

283306720 is a gapful number since it is divisible by the number (20) 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 283306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361020240).

283306720 is an abundant number, since it is smaller than the sum of its proper divisors (438733760).

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

283306720 is a wasteful number, since it uses less digits than its factorization.

283306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 283306720 is about 16831.7176782407. The cubic root of 283306720 is about 656.7785471918.

The spelling of 283306720 in words is "two hundred eighty-three million, three hundred six thousand, seven hundred twenty".