282343680 has 108 divisors (see below), whose sum is σ = 976919580. Its totient is φ = 75288576.

The previous prime is 282343657. The next prime is 282343687. The reversal of 282343680 is 86343282.

It can be written as a sum of positive squares in 2 ways, for example, as 191102976 + 91240704 = 13824^2 + 9552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (282343687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735 + ... + 23774.

Almost surely, 2^282343680 is an apocalyptic number.

282343680 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 282343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488459790).

282343680 is an abundant number, since it is smaller than the sum of its proper divisors (694575900).

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

282343680 is a wasteful number, since it uses less digits than its factorization.

282343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24536 (or 24519 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 282343680 is about 16803.0854309558. The cubic root of 282343680 is about 656.0335100867.

The spelling of 282343680 in words is "two hundred eighty-two million, three hundred forty-three thousand, six hundred eighty".