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34343333334343 = 1123878315455357
BaseRepresentation
bin1111100111100001011100…
…01011110000110101000111
311111121012010221121221202101
413303300232023300311013
514000140121313144333
6201013035354052531
710143136546524505
oct763605613606507
9144535127557671
1034343333334343
11aa40a2037a430
123a27b74a1a147
13162174089ca07
1486a3249b1675
153e85378b467d
hex1f3c2e2f0d47

34343333334343 has 16 divisors (see below), whose sum is σ = 39098841025536. Its totient is φ = 29860366006240.

The previous prime is 34343333334269. The next prime is 34343333334361.

34343333334343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34343333334343 - 221 = 34343331237191 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34343333334293 and 34343333334302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343333331343) 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, 5505580 + ... + 9949777.

It is an arithmetic number, because the mean of its divisors is an integer number (2443677564096).

Almost surely, 234343333334343 is an apocalyptic number.

34343333334343 is a deficient number, since it is larger than the sum of its proper divisors (4755507691193).

34343333334343 is a wasteful number, since it uses less digits than its factorization.

34343333334343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15464174.

The product of its digits is 15116544, while the sum is 46.

It can be divided in two parts, 3434333 and 3334343, that added together give a palindrome (6768676).

The spelling of 34343333334343 in words is "thirty-four trillion, three hundred forty-three billion, three hundred thirty-three million, three hundred thirty-four thousand, three hundred forty-three".

Divisors: 1 11 23 253 8783 96613 202009 2222099 15455357 170008927 355473211 3910205321 135744400531 1493188405841 3122121212213 34343333334343