Search a number
-
+
242844 = 2237359
BaseRepresentation
bin111011010010011100
3110100010020
4323102130
530232334
65112140
72031000
oct732234
9410106
10242844
111564a8
12b8650
13866c4
1464700
154be49
hex3b49c

242844 has 48 divisors (see below), whose sum is σ = 672000. Its totient is φ = 68208.

The previous prime is 242819. The next prime is 242863. The reversal of 242844 is 448242.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4087 + ... + 4145.

It is an arithmetic number, because the mean of its divisors is an integer number (14000).

2242844 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 242844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336000).

242844 is an abundant number, since it is smaller than the sum of its proper divisors (429156).

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

242844 is a wasteful number, since it uses less digits than its factorization.

242844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 242844 is about 492.7920453903. The cubic root of 242844 is about 62.3891582084.

The spelling of 242844 in words is "two hundred forty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 343 354 413 588 686 708 826 1029 1239 1372 1652 2058 2478 2891 4116 4956 5782 8673 11564 17346 20237 34692 40474 60711 80948 121422 242844