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242294536 = 231119229263
BaseRepresentation
bin11100111000100…
…01111100001000
3121212220211121201
432130101330020
5444011411121
640013113544
76001320031
oct1634217410
9555824551
10242294536
11114850520
12691888b4
133b275363
1424271a88
1516410e91
hexe711f08

242294536 has 96 divisors (see below), whose sum is σ = 543153600. Its totient is φ = 100356480.

The previous prime is 242294509. The next prime is 242294539. The reversal of 242294536 is 635492242.

Its product of digits (103680) is a multiple of the sum of its prime divisors (324).

It is a junction number, because it is equal to n+sod(n) for n = 242294495 and 242294504.

It is not an unprimeable number, because it can be changed into a prime (242294539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 921141 + ... + 921403.

It is an arithmetic number, because the mean of its divisors is an integer number (5657850).

Almost surely, 2242294536 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 242294536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271576800).

242294536 is an abundant number, since it is smaller than the sum of its proper divisors (300859064).

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

242294536 is a wasteful number, since it uses less digits than its factorization.

242294536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 324 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 242294536 is about 15565.8130529696. The cubic root of 242294536 is about 623.4206832954.

The spelling of 242294536 in words is "two hundred forty-two million, two hundred ninety-four thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 19 22 29 38 44 58 76 88 116 152 209 232 263 319 361 418 526 551 638 722 836 1052 1102 1276 1444 1672 2104 2204 2552 2888 2893 3971 4408 4997 5786 6061 7627 7942 9994 10469 11572 12122 15254 15884 19988 20938 23144 24244 30508 31768 39976 41876 48488 54967 61016 83752 83897 94943 109934 115159 144913 167794 189886 219868 230318 289826 335588 379772 439736 460636 579652 671176 759544 921272 1044373 1159304 1594043 2088746 2753347 3188086 4177492 5506694 6376172 8354984 11013388 12752344 22026776 30286817 60573634 121147268 242294536