Search a number
-
+
23340353337 = 3371729324793
BaseRepresentation
bin10101101111001100…
…011000011100111001
32020020121222210121000
4111233030120130321
5340300112301322
614420012435213
71454252505240
oct255714303471
966217883530
1023340353337
119998025a14
124634778b09
13227c748582
1411b5ba7957
159191403ac
hex56f318739

23340353337 has 64 divisors (see below), whose sum is σ = 41987151360. Its totient is φ = 12509448192.

The previous prime is 23340353321. The next prime is 23340353339. The reversal of 23340353337 is 73335304332.

23340353337 is a `hidden beast` number, since 233 + 40 + 3 + 53 + 337 = 666.

It is not a de Polignac number, because 23340353337 - 24 = 23340353321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23340353339) 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 63 ways as a sum of consecutive naturals, for example, 929013 + ... + 953805.

It is an arithmetic number, because the mean of its divisors is an integer number (656049240).

Almost surely, 223340353337 is an apocalyptic number.

23340353337 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

23340353337 is a deficient number, since it is larger than the sum of its proper divisors (18646798023).

23340353337 is a wasteful number, since it uses less digits than its factorization.

23340353337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25119 (or 25113 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 36.

Adding to 23340353337 its reverse (73335304332), we get a palindrome (96675657669).

The spelling of 23340353337 in words is "twenty-three billion, three hundred forty million, three hundred fifty-three thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 293 357 459 879 1071 2051 2637 3213 4981 6153 7911 14943 18459 24793 34867 44829 55377 74379 104601 134487 173551 223137 313803 421481 520653 669411 941409 1264443 1561959 2950367 3793329 4685877 7264349 8851101 11379987 21793047 26553303 50850443 65379141 79659909 123493933 152551329 196137423 370481799 457653987 864457531 1111445397 1372961961 2593372593 3334336191 7780117779 23340353337