Search a number
-
+
68234292 = 22337432099
BaseRepresentation
bin1000001000100…
…10110000110100
311202101122212000
410010102300310
5114431444132
610434255300
71455660540
oct404226064
9152348760
1068234292
1135575485
121aa27530
13111a0c29
1490c2a20
155ecc87c
hex4112c34

68234292 has 96 divisors (see below), whose sum is σ = 206976000. Its totient is φ = 19033056.

The previous prime is 68234281. The next prime is 68234293. The reversal of 68234292 is 29243286.

68234292 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

68234292 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68234293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31459 + ... + 33557.

It is an arithmetic number, because the mean of its divisors is an integer number (2156000).

Almost surely, 268234292 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 68234292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488000).

68234292 is an abundant number, since it is smaller than the sum of its proper divisors (138741708).

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

68234292 is a wasteful number, since it uses less digits than its factorization.

68234292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2154 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 68234292 is about 8260.4050748132. The cubic root of 68234292 is about 408.6337469243.

The spelling of 68234292 in words is "sixty-eight million, two hundred thirty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1806 2099 2322 2709 3612 4198 4644 5418 6297 8127 8396 10836 12594 14693 16254 18891 25188 29386 32508 37782 44079 56673 58772 75564 88158 90257 113346 132237 176316 180514 226692 264474 270771 361028 396711 528948 541542 631799 793422 812313 1083084 1263598 1586844 1624626 1895397 2436939 2527196 3249252 3790794 4873878 5686191 7581588 9747756 11372382 17058573 22744764 34117146 68234292