Search a number
-
+
242344000304 = 24761163217619
BaseRepresentation
bin1110000110110011010…
…0111111101100110000
3212011112100222202220222
43201230310333230300
512432310031002204
6303155320552212
723336340004640
oct3415464775460
9764470882828
10242344000304
119386096337a
123ab74622668
1319b11bb1163
14ba2dad2520
156485b1eabe
hex386cd3fb30

242344000304 has 80 divisors (see below), whose sum is σ = 548764519680. Its totient is φ = 101531854080.

The previous prime is 242344000291. The next prime is 242344000313. The reversal of 242344000304 is 403000443242.

It is a super-2 number, since 2×2423440003042 (a number of 24 digits) contains 22 as substring.

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, 1004807 + ... + 1222425.

It is an arithmetic number, because the mean of its divisors is an integer number (6859556496).

Almost surely, 2242344000304 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 242344000304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274382259840).

242344000304 is an abundant number, since it is smaller than the sum of its proper divisors (306420519376).

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

242344000304 is a wasteful number, since it uses less digits than its factorization.

242344000304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217858 (or 217852 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 242344000304 its reverse (403000443242), we get a palindrome (645344443546).

The spelling of 242344000304 in words is "two hundred forty-two billion, three hundred forty-four million, three hundred four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 163 244 326 427 488 652 854 976 1141 1304 1708 2282 2608 3416 4564 6832 9128 9943 18256 19886 39772 69601 79544 139202 159088 217619 278404 435238 556808 870476 1113616 1523333 1740952 3046666 3481904 6093332 12186664 13274759 24373328 26549518 35471897 53099036 70943794 92923313 106198072 141887588 185846626 212396144 248303279 283775176 371693252 496606558 567550352 743386504 993213116 1486773008 1986426232 2163785717 3972852464 4327571434 8655142868 15146500019 17310285736 30293000038 34620571472 60586000076 121172000152 242344000304