284361336 has 96 divisors (see below), whose sum is σ = 888132960. Its totient is φ = 80510976.

The previous prime is 284361323. The next prime is 284361379. The reversal of 284361336 is 633163482.

284361336 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 613 + 36 = 666.

It is a super-2 number, since 2×284361336² = 161722738823409792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 284361336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54456 + ... + 59448.

It is an arithmetic number, because the mean of its divisors is an integer number (9251385).

Almost surely, 2^284361336 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 284361336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444066480).

284361336 is an abundant number, since it is smaller than the sum of its proper divisors (603771624).

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

284361336 is a wasteful number, since it uses less digits than its factorization.

284361336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5118 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 284361336 is about 16863.0168119468. The cubic root of 284361336 is about 657.5924959628.

The spelling of 284361336 in words is "two hundred eighty-four million, three hundred sixty-one thousand, three hundred thirty-six".