286101340 has 48 divisors (see below), whose sum is σ = 688955904. Its totient is φ = 97761600.

The previous prime is 286101311. The next prime is 286101341. The reversal of 286101340 is 43101682.

286101340 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 not an unprimeable number, because it can be changed into a prime (286101341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40255 + ... + 46825.

It is an arithmetic number, because the mean of its divisors is an integer number (14353248).

Almost surely, 2^286101340 is an apocalyptic number.

286101340 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 286101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344477952).

286101340 is an abundant number, since it is smaller than the sum of its proper divisors (402854564).

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

286101340 is a wasteful number, since it uses less digits than its factorization.

286101340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6898 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 286101340 is about 16914.5304398319. The cubic root of 286101340 is about 658.9310366620.

The spelling of 286101340 in words is "two hundred eighty-six million, one hundred one thousand, three hundred forty".