Search a number
-
+
34304355340343 = 1131100599282523
BaseRepresentation
bin1111100110011000110101…
…11010100001000000110111
311111110110112111122200220222
413303030122322201000313
513444020304431342333
6200543111524244555
710140256622200154
oct763143272410067
9144413474580828
1034304355340343
11aa26439305650
123a204b724075b
13161ab6b490b3a
148684a803d22b
153e75059a9298
hex1f331aea1037

34304355340343 has 8 divisors (see below), whose sum is σ = 38630124489216. Its totient is φ = 30179784756600.

The previous prime is 34304355340337. The next prime is 34304355340351.

34304355340343 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 34304355340343 - 216 = 34304355274807 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34304355340294 and 34304355340303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34304355340363) 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, 50299640921 + ... + 50299641602.

It is an arithmetic number, because the mean of its divisors is an integer number (4828765561152).

Almost surely, 234304355340343 is an apocalyptic number.

34304355340343 is a deficient number, since it is larger than the sum of its proper divisors (4325769148873).

34304355340343 is a wasteful number, since it uses less digits than its factorization.

34304355340343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100599282565.

The product of its (nonzero) digits is 4665600, while the sum is 44.

It can be divided in two parts, 3430435 and 5340343, that added together give a palindrome (8770778).

The spelling of 34304355340343 in words is "thirty-four trillion, three hundred four billion, three hundred fifty-five million, three hundred forty thousand, three hundred forty-three".

Divisors: 1 11 31 341 100599282523 1106592107753 3118577758213 34304355340343