Search a number
-
+
34210105345 = 5132922977901
BaseRepresentation
bin11111110111000101…
…001100100000000001
310021022011100102011201
4133313011030200001
51030030241332340
623414345141201
72320521045313
oct376705144001
9107264312151
1034210105345
1113565792539
126768a8a801
1332c269b5b0
1419276517b3
15d5355279a
hex7f714c801

34210105345 has 32 divisors (see below), whose sum is σ = 45760165920. Its totient is φ = 24378009600.

The previous prime is 34210105331. The next prime is 34210105351. The reversal of 34210105345 is 54350101243.

It can be written as a sum of positive squares in 16 ways, for example, as 9832903921 + 24377201424 = 99161^2 + 156132^2 .

It is not a de Polignac number, because 34210105345 - 211 = 34210103297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4325895 + ... + 4333795.

It is an arithmetic number, because the mean of its divisors is an integer number (1430005185).

Almost surely, 234210105345 is an apocalyptic number.

It is an amenable number.

34210105345 is a deficient number, since it is larger than the sum of its proper divisors (11550060575).

34210105345 is a wasteful number, since it uses less digits than its factorization.

34210105345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245.

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 34210105345 its reverse (54350101243), we get a palindrome (88560206588).

The spelling of 34210105345 in words is "thirty-four billion, two hundred ten million, one hundred five thousand, three hundred forty-five".

Divisors: 1 5 13 29 65 145 377 1885 2297 7901 11485 29861 39505 66613 102713 149305 229129 333065 513565 865969 1145645 2978677 4329845 14893385 18148597 90742985 235931761 526309313 1179658805 2631546565 6842021069 34210105345