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84340217331 = 345926367103
BaseRepresentation
bin100111010001100010…
…0011001010111110011
322001200210222221220000
41032203010121113303
52340212043423311
6102424555321043
76044013006306
oct1164304312763
9261623887800
1084340217331
113284a943657
1214419450183
137c51395a56
144121370b3d
1522d9549056
hex13a31195f3

84340217331 has 40 divisors (see below), whose sum is σ = 128614210560. Its totient is φ = 55062827568.

The previous prime is 84340217317. The next prime is 84340217341. The reversal of 84340217331 is 13371204348.

84340217331 is a `hidden beast` number, since 8 + 434 + 0 + 217 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 84340217331 - 213 = 84340209139 is a prime.

It is a super-2 number, since 2×843402173312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84340217341) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1223326 + ... + 1290428.

It is an arithmetic number, because the mean of its divisors is an integer number (3215355264).

Almost surely, 284340217331 is an apocalyptic number.

84340217331 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

84340217331 is a deficient number, since it is larger than the sum of its proper divisors (44273993229).

84340217331 is a wasteful number, since it uses less digits than its factorization.

84340217331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67437 (or 67428 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 84340217331 in words is "eighty-four billion, three hundred forty million, two hundred seventeen thousand, three hundred thirty-one".

Divisors: 1 3 9 27 59 81 177 263 531 789 1593 2367 4779 7101 15517 21303 46551 67103 139653 201309 418959 603927 1256877 1811781 3959077 5435343 11877231 17648089 35631693 52944267 106895079 158832801 320685237 476498403 1041237251 1429495209 3123711753 9371135259 28113405777 84340217331