Search a number
-
+
286313040 = 24325133181
BaseRepresentation
bin10001000100001…
…100101001010000
3201221202012122200
4101010030221100
51041244004130
644224403200
710044422616
oct2104145120
9657665580
10286313040
11137686252
127ba76500
1347418000
142a04d6b6
151a208760
hex1110ca50

286313040 has 240 divisors, whose sum is σ = 1047380880. Its totient is φ = 70087680.

The previous prime is 286313029. The next prime is 286313047. The reversal of 286313040 is 40313682.

It is a happy number.

286313040 is a `hidden beast` number, since 28 + 631 + 3 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 277022736 + 9290304 = 16644^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 286312995 and 286313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286313047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1581750 + ... + 1581930.

It is an arithmetic number, because the mean of its divisors is an integer number (4364087).

Almost surely, 2286313040 is an apocalyptic number.

286313040 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 286313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523690440).

286313040 is an abundant number, since it is smaller than the sum of its proper divisors (761067840).

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

286313040 is a wasteful number, since it uses less digits than its factorization.

286313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 286313040 is about 16920.7872157297. The cubic root of 286313040 is about 659.0935214050.

The spelling of 286313040 in words is "two hundred eighty-six million, three hundred thirteen thousand, forty".