Search a number
-
+
34468086443 = 7107433106279
BaseRepresentation
bin100000000110011101…
…010100001010101011
310021222010210012201012
4200012131110022223
51031042312231233
623500122414135
72330102620640
oct400635241253
9107863705635
1034468086443
111368837755a
12681b36134b
133333c7692b
14194da07dc7
15d6b011548
hex8067542ab

34468086443 has 16 divisors (see below), whose sum is σ = 39852449280. Its totient is φ = 29200093056.

The previous prime is 34468086437. The next prime is 34468086463.

34468086443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34468086443 - 210 = 34468085419 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 34468086391 and 34468086400.

It is not an unprimeable number, because it can be changed into a prime (34468086403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271178 + ... + 377456.

It is an arithmetic number, because the mean of its divisors is an integer number (2490778080).

Almost surely, 234468086443 is an apocalyptic number.

34468086443 is a deficient number, since it is larger than the sum of its proper divisors (5384362837).

34468086443 is a wasteful number, since it uses less digits than its factorization.

34468086443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106826.

The product of its (nonzero) digits is 5308416, while the sum is 50.

The spelling of 34468086443 in words is "thirty-four billion, four hundred sixty-eight million, eighty-six thousand, four hundred forty-three".

Divisors: 1 7 107 433 749 3031 46331 106279 324317 743953 11371853 46018807 79602971 322131649 4924012349 34468086443