[go: up one dir, main page]

Search a number
-
+
286341264 = 24331160257
BaseRepresentation
bin10001000100010…
…011100010010000
3201221210122101000
4101010103202100
51041300410024
644225142000
710044601116
oct2104234220
9657718330
10286341264
111376a5480
127ba8a900
1347427b01
142a059ab6
151a211cc9
hex11113890

286341264 has 80 divisors (see below), whose sum is σ = 896639040. Its totient is φ = 86768640.

The previous prime is 286341227. The next prime is 286341269. The reversal of 286341264 is 462143682.

286341264 is a `hidden beast` number, since 2 + 8 + 634 + 12 + 6 + 4 = 666.

286341264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (286341269) 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, 25377 + ... + 34880.

It is an arithmetic number, because the mean of its divisors is an integer number (11207988).

Almost surely, 2286341264 is an apocalyptic number.

286341264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

286341264 is an abundant number, since it is smaller than the sum of its proper divisors (610297776).

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

286341264 is a wasteful number, since it uses less digits than its factorization.

286341264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60285 (or 60273 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 286341264 is about 16921.6211989277. The cubic root of 286341264 is about 659.1151779391.

The spelling of 286341264 in words is "two hundred eighty-six million, three hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 60257 120514 180771 241028 361542 482056 542313 662827 723084 964112 1084626 1325654 1446168 1626939 1988481 2169252 2651308 2892336 3253878 3976962 4338504 5302616 5965443 6507756 7953924 8677008 10605232 11930886 13015512 15907848 17896329 23861772 26031024 31815696 35792658 47723544 71585316 95447088 143170632 286341264