Search a number
-
+
282243344 = 24314113879
BaseRepresentation
bin10000110100101…
…011000100010000
3201200002110002012
4100310223010100
51034223241334
644001242052
76665012615
oct2064530420
9650073065
10282243344
11135356669
127a633328
13466217c6
14296b050c
1519ba29ce
hex10d2b110

282243344 has 40 divisors (see below), whose sum is σ = 578296320. Its totient is φ = 133228800.

The previous prime is 282243337. The next prime is 282243349. The reversal of 282243344 is 443342282.

It is a super-2 number, since 2×2822433442 = 159322610464604672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 282243344.

It is not an unprimeable number, because it can be changed into a prime (282243349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13397 + ... + 27275.

It is an arithmetic number, because the mean of its divisors is an integer number (14457408).

Almost surely, 2282243344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289148160).

282243344 is an abundant number, since it is smaller than the sum of its proper divisors (296052976).

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

282243344 is a wasteful number, since it uses less digits than its factorization.

282243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13959 (or 13953 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 282243344 is about 16800.0995235147. The cubic root of 282243344 is about 655.9557897035.

The spelling of 282243344 in words is "two hundred eighty-two million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 328 496 656 1271 2542 5084 10168 13879 20336 27758 55516 111032 222064 430249 569039 860498 1138078 1720996 2276156 3441992 4552312 6883984 9104624 17640209 35280418 70560836 141121672 282243344