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34362433426343 = 118635227692513
BaseRepresentation
bin1111101000000101000001…
…01000110101001110100111
311111200000110001211011022012
413310002200220311032213
514000443230424120333
6201025514535224435
710144414063605101
oct764024050651647
9144600401734265
1034362433426343
11aa4903192a230
123a2b80551811b
1316234959b3ab9
1486b217562571
153e8ca4620e48
hex1f40a0a353a7

34362433426343 has 16 divisors (see below), whose sum is σ = 37536962374656. Its totient is φ = 31196363677440.

The previous prime is 34362433426339. The next prime is 34362433426361.

34362433426343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34362433426343 - 22 = 34362433426339 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34362433426291 and 34362433426300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34362433426313) 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, 49273655 + ... + 49966167.

It is an arithmetic number, because the mean of its divisors is an integer number (2346060148416).

Almost surely, 234362433426343 is an apocalyptic number.

34362433426343 is a deficient number, since it is larger than the sum of its proper divisors (3174528948313).

34362433426343 is a wasteful number, since it uses less digits than its factorization.

34362433426343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698614.

The product of its digits is 26873856, while the sum is 50.

The spelling of 34362433426343 in words is "thirty-four trillion, three hundred sixty-two billion, four hundred thirty-three million, four hundred twenty-six thousand, three hundred forty-three".

Divisors: 1 11 863 5227 9493 57497 692513 4510901 7617643 49619911 597638719 3619765451 6574025909 39817419961 3123857584213 34362433426343