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243233332342 = 272111317539901
BaseRepresentation
bin1110001010000111010…
…1100001110001110110
3212020211100102112010121
43202201311201301312
512441120213113332
6303423450242154
723400356132500
oct3424165416166
9766740375117
10243233332342
1194177969730
123b18242635a
1319c24210c30
14bab5c72d70
1564d8c40797
hex38a1d61c76

243233332342 has 96 divisors (see below), whose sum is σ = 498951006624. Its totient is φ = 87417792000.

The previous prime is 243233332267. The next prime is 243233332367.

243233332342 is nontrivially palindromic in base 10.

243233332342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 243233332298 and 243233332307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24561592 + ... + 24571492.

It is an arithmetic number, because the mean of its divisors is an integer number (5197406319).

Almost surely, 2243233332342 is an apocalyptic number.

243233332342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

243233332342 is an abundant number, since it is smaller than the sum of its proper divisors (255717674282).

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

243233332342 is a wasteful number, since it uses less digits than its factorization.

243233332342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11694 (or 11687 counting only the distinct ones).

The product of its digits is 186624, while the sum is 34.

It can be divided in two parts, 243233 and 332342, that added together give a palindrome (575575).

The spelling of 243233332342 in words is "two hundred forty-three billion, two hundred thirty-three million, three hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 1753 2002 3506 7007 9901 12271 14014 19283 19802 22789 24542 38566 45578 69307 85897 108911 128713 134981 138614 159523 171794 217822 250679 257426 269962 319046 485149 501358 762377 900991 944867 970298 1116661 1415843 1524754 1754753 1801982 1889734 2233322 2831686 3509506 5336639 6306937 9910901 10673278 12283271 12613874 17356453 19821802 24566542 34712906 69376307 121495171 138752614 190920983 225633889 242990342 381841966 451267778 850466197 1336446881 1579437223 1700932394 2481972779 2672893762 3158874446 4963945558 9355128167 11056060561 17373809453 18710256334 22112121122 34747618906 121616666171 243233332342