Search a number
-
+
243104112 = 24332343569
BaseRepresentation
bin11100111110101…
…11100101110000
3121221102222011000
432133113211300
5444213312422
640042322000
76011231226
oct1637274560
9557388130
10243104112
11115253799
12694b9300
133b4999b4
1424402b16
1516520cac
hexe7d7970

243104112 has 160 divisors (see below), whose sum is σ = 746380800. Its totient is φ = 75575808.

The previous prime is 243104083. The next prime is 243104137. The reversal of 243104112 is 211401342.

243104112 is a `hidden beast` number, since 243 + 10 + 411 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426964 + ... + 427532.

It is an arithmetic number, because the mean of its divisors is an integer number (4664880).

Almost surely, 2243104112 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 243104112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373190400).

243104112 is an abundant number, since it is smaller than the sum of its proper divisors (503276688).

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

243104112 is a wasteful number, since it uses less digits than its factorization.

243104112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 243104112 is about 15591.7963044673. The cubic root of 243104112 is about 624.1142542267.

Adding to 243104112 its reverse (211401342), we get a palindrome (454505454).

The spelling of 243104112 in words is "two hundred forty-three million, one hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 43 46 48 54 69 72 86 92 108 129 138 144 172 184 207 216 258 276 344 368 387 414 432 516 552 569 621 688 774 828 989 1032 1104 1138 1161 1242 1548 1656 1707 1978 2064 2276 2322 2484 2967 3096 3312 3414 3956 4552 4644 4968 5121 5934 6192 6828 7912 8901 9104 9288 9936 10242 11868 13087 13656 15363 15824 17802 18576 20484 23736 24467 26174 26703 27312 30726 35604 39261 40968 47472 48934 52348 53406 61452 71208 73401 78522 81936 97868 104696 106812 117783 122904 142416 146802 157044 195736 209392 213624 220203 235566 245808 293604 314088 353349 391472 427248 440406 471132 562741 587208 628176 660609 706698 880812 942264 1125482 1174416 1321218 1413396 1688223 1761624 1884528 2250964 2642436 2826792 3376446 3523248 4501928 5064669 5284872 5653584 6752892 9003856 10129338 10569744 13505784 15194007 20258676 27011568 30388014 40517352 60776028 81034704 121552056 243104112