286344396 has 288 divisors, whose sum is σ = 904071168. Its totient is φ = 78382080.

The previous prime is 286344371. The next prime is 286344397. The reversal of 286344396 is 693443682.

286344396 is a `hidden beast` number, since 2 + 8 + 634 + 4 + 3 + 9 + 6 = 666.

It is a super-2 number, since 2×286344396² = 163986226241209632, which contains 22 as substring.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (286344397) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6659151 + ... + 6659193.

It is an arithmetic number, because the mean of its divisors is an integer number (3139136).

Almost surely, 2^286344396 is an apocalyptic number.

286344396 is a gapful number since it is divisible by the number (26) 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 286344396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452035584).

286344396 is an abundant number, since it is smaller than the sum of its proper divisors (617726772).

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

286344396 is a wasteful number, since it uses less digits than its factorization.

286344396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 286344396 is about 16921.7137429990. The cubic root of 286344396 is about 659.1175810637.

The spelling of 286344396 in words is "two hundred eighty-six million, three hundred forty-four thousand, three hundred ninety-six".