Search a number
-
+
32340300304323 = 311980009100131
BaseRepresentation
bin1110101101001110100000…
…00111001000111111000011
311020111200222010121012210010
413112213100013020333003
513214330413334214243
6152440532344440003
76545336534635344
oct726472007107703
9136450863535703
1032340300304323
11a339498459270
123763925179003
1315078a5b5ac2b
147db3c939c0cb
153b13a34bb433
hex1d69d01c8fc3

32340300304323 has 8 divisors (see below), whose sum is σ = 47040436806336. Its totient is φ = 19600182002600.

The previous prime is 32340300304187. The next prime is 32340300304327.

It is a happy number.

32340300304323 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32340300304323 - 242 = 27942253793219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32340300304327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490004550033 + ... + 490004550098.

It is an arithmetic number, because the mean of its divisors is an integer number (5880054600792).

Almost surely, 232340300304323 is an apocalyptic number.

32340300304323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32340300304323 is a deficient number, since it is larger than the sum of its proper divisors (14700136502013).

32340300304323 is a wasteful number, since it uses less digits than its factorization.

32340300304323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980009100145.

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 32340300 and 304323, that added together give a palindrome (32644623).

The spelling of 32340300304323 in words is "thirty-two trillion, three hundred forty billion, three hundred million, three hundred four thousand, three hundred twenty-three".

Divisors: 1 3 11 33 980009100131 2940027300393 10780100101441 32340300304323