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243686340 = 22335835437
BaseRepresentation
bin11101000011001…
…01101111000100
3121222112112211000
432201211233010
5444340430330
640103013300
76016204542
oct1641455704
9558475730
10243686340
11115611177
126973a230
133b641a01
1424514d92
15165d8560
hexe865bc4

243686340 has 96 divisors (see below), whose sum is σ = 767410560. Its totient is φ = 64188288.

The previous prime is 243686297. The next prime is 243686341. The reversal of 243686340 is 43686342.

It is a happy number.

243686340 is digitally balanced in base 2, 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).

It is a junction number, because it is equal to n+sod(n) for n = 243686295 and 243686304.

It is not an unprimeable number, because it can be changed into a prime (243686341) 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, 42102 + ... + 47538.

It is an arithmetic number, because the mean of its divisors is an integer number (7993860).

Almost surely, 2243686340 is an apocalyptic number.

243686340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243686340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383705280).

243686340 is an abundant number, since it is smaller than the sum of its proper divisors (523724220).

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

243686340 is a wasteful number, since it uses less digits than its factorization.

243686340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 243686340 is about 15610.4561112096. The cubic root of 243686340 is about 624.6121027737.

The spelling of 243686340 in words is "two hundred forty-three million, six hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 5437 7470 8964 10874 11205 14940 16311 21748 22410 27185 32622 44820 48933 54370 65244 81555 97866 108740 146799 163110 195732 244665 293598 326220 451271 489330 587196 733995 902542 978660 1353813 1467990 1805084 2256355 2707626 2935980 4061439 4512710 5415252 6769065 8122878 9025420 12184317 13538130 16245756 20307195 24368634 27076260 40614390 48737268 60921585 81228780 121843170 243686340