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242411232 = 25372291777
BaseRepresentation
bin11100111001011…
…10011011100000
3121220010202200210
432130232123200
5444024124412
640015414120
76002314200
oct1634563340
9556122623
10242411232
11114920168
1269224340
133b2b64cb
14242a2400
151643583c
hexe72e6e0

242411232 has 144 divisors (see below), whose sum is σ = 766175760. Its totient is φ = 66834432.

The previous prime is 242411219. The next prime is 242411243. The reversal of 242411232 is 232114242.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242411199 and 242411208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135528 + ... + 137304.

It is an arithmetic number, because the mean of its divisors is an integer number (5320665).

Almost surely, 2242411232 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 242411232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383087880).

242411232 is an abundant number, since it is smaller than the sum of its proper divisors (523764528).

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

242411232 is a wasteful number, since it uses less digits than its factorization.

242411232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1818 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 242411232 is about 15569.5610728113. The cubic root of 242411232 is about 623.5207529940.

Adding to 242411232 its reverse (232114242), we get a palindrome (474525474).

The spelling of 242411232 in words is "two hundred forty-two million, four hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 96 98 112 116 147 168 174 196 203 224 232 294 336 348 392 406 464 588 609 672 696 784 812 928 1176 1218 1392 1421 1568 1624 1777 2352 2436 2784 2842 3248 3554 4263 4704 4872 5331 5684 6496 7108 8526 9744 10662 11368 12439 14216 17052 19488 21324 22736 24878 28432 34104 37317 42648 45472 49756 51533 56864 68208 74634 85296 87073 99512 103066 136416 149268 154599 170592 174146 199024 206132 261219 298536 309198 348292 360731 398048 412264 522438 597072 618396 696584 721462 824528 1044876 1082193 1194144 1236792 1393168 1442924 1649056 2089752 2164386 2473584 2525117 2786336 2885848 4179504 4328772 4947168 5050234 5771696 7575351 8359008 8657544 10100468 11543392 15150702 17315088 20200936 30301404 34630176 40401872 60602808 80803744 121205616 242411232