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82340041 = 727989239
BaseRepresentation
bin1001110100001…
…10100011001001
312201221022022011
410322012203021
5132034340131
612100455521
72016610300
oct472064311
9181838264
1082340041
114252a323
12236aa5a1
131409c524
14ad15437
1573670b1
hex4e868c9

82340041 has 24 divisors (see below), whose sum is σ = 98496000. Its totient is φ = 68612544.

The previous prime is 82340033. The next prime is 82340047. The reversal of 82340041 is 14004328.

It is not a de Polignac number, because 82340041 - 23 = 82340033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82339994 and 82340021.

It is not an unprimeable number, because it can be changed into a prime (82340047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344400 + ... + 344638.

It is an arithmetic number, because the mean of its divisors is an integer number (4104000).

Almost surely, 282340041 is an apocalyptic number.

It is an amenable number.

82340041 is a deficient number, since it is larger than the sum of its proper divisors (16155959).

82340041 is a wasteful number, since it uses less digits than its factorization.

82340041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 82340041 is about 9074.1413367877. The cubic root of 82340041 is about 435.0478495829.

Adding to 82340041 its reverse (14004328), we get a palindrome (96344369).

The spelling of 82340041 in words is "eighty-two million, three hundred forty thousand, forty-one".

Divisors: 1 7 49 79 89 239 553 623 1673 3871 4361 7031 11711 18881 21271 49217 132167 148897 344519 925169 1042279 1680409 11762863 82340041