286034740 has 72 divisors (see below), whose sum is σ = 640400040. Its totient is φ = 107294976.

The previous prime is 286034729. The next prime is 286034767. The reversal of 286034740 is 47430682.

286034740 = 86² + 87² + ... + 950².

It can be written as a sum of positive squares in 4 ways, for example, as 153462544 + 132572196 = 12388^2 + 11514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 286034696 and 286034705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248946 + ... + 1249174.

It is an arithmetic number, because the mean of its divisors is an integer number (8894445).

Almost surely, 2^286034740 is an apocalyptic number.

286034740 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 286034740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320200020).

286034740 is an abundant number, since it is smaller than the sum of its proper divisors (354365300).

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

286034740 is a wasteful number, since it uses less digits than its factorization.

286034740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 286034740 is about 16912.5616037311. The cubic root of 286034740 is about 658.8799030174.

The spelling of 286034740 in words is "two hundred eighty-six million, thirty-four thousand, seven hundred forty".