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242336052 = 223273167463
BaseRepresentation
bin11100111000111…
…00000100110100
3121212222221120100
432130130010310
5444014223202
640014034100
76001552050
oct1634340464
9555887510
10242336052
11114879732
12691a8930
133b28b21a
1424282c60
151641d41c
hexe71c134

242336052 has 144 divisors (see below), whose sum is σ = 735035392. Its totient is φ = 65862720.

The previous prime is 242336033. The next prime is 242336099. The reversal of 242336052 is 250633242.

242336052 is a `hidden beast` number, since 24 + 2 + 33 + 605 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 523173 + ... + 523635.

Almost surely, 2242336052 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 242336052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367517696).

242336052 is an abundant number, since it is smaller than the sum of its proper divisors (492699340).

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

242336052 is a wasteful number, since it uses less digits than its factorization.

242336052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 242336052 is about 15567.1465593409. The cubic root of 242336052 is about 623.4562879709.

Adding to 242336052 its reverse (250633242), we get a palindrome (492969294).

The spelling of 242336052 in words is "two hundred forty-two million, three hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 67 84 93 124 126 134 186 201 217 252 268 279 372 402 434 463 469 558 603 651 804 868 926 938 1116 1206 1302 1389 1407 1852 1876 1953 2077 2412 2604 2778 2814 3241 3906 4154 4167 4221 5556 5628 6231 6482 7812 8308 8334 8442 9723 12462 12964 14353 14539 16668 16884 18693 19446 24924 28706 29078 29169 31021 37386 38892 43059 43617 57412 58156 58338 62042 74772 86118 87234 93063 100471 116676 124084 129177 130851 172236 174468 186126 200942 217147 258354 261702 279189 301413 372252 401884 434294 516708 523404 558378 602826 651441 868588 904239 961651 1116756 1205652 1302882 1808478 1923302 1954323 2605764 2884953 3616956 3846604 3908646 5769906 6731557 7817292 8654859 11539812 13463114 17309718 20194671 26926228 34619436 40389342 60584013 80778684 121168026 242336052