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34360244206343 = 1121914945734757
BaseRepresentation
bin1111101000000000111100…
…01001100111101100000111
311111122210210111102021000222
413310000132021213230013
514000424240004100333
6201024513412454555
710144305611544356
oct764003611475407
9144583714367028
1034360244206343
11aa481090a2900
123a2b2b431a45b
131623207288053
1486b08a8cd99d
153e8bc7333298
hex1f401e267b07

34360244206343 has 12 divisors (see below), whose sum is σ = 39755654456280. Its totient is φ = 29592554816880.

The previous prime is 34360244206333. The next prime is 34360244206361.

34360244206343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34360244206343 - 28 = 34360244206087 is a prime.

It is a super-2 number, since 2×343602442063432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34360244206294 and 34360244206303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34360244206333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7472865080 + ... + 7472869677.

It is an arithmetic number, because the mean of its divisors is an integer number (3312971204690).

Almost surely, 234360244206343 is an apocalyptic number.

34360244206343 is a deficient number, since it is larger than the sum of its proper divisors (5395410249937).

34360244206343 is a wasteful number, since it uses less digits than its factorization.

34360244206343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14945734798 (or 14945734787 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 44.

The spelling of 34360244206343 in words is "thirty-four trillion, three hundred sixty billion, two hundred forty-four million, two hundred six thousand, three hundred forty-three".

Divisors: 1 11 19 121 209 2299 14945734757 164403082327 283968960383 1808433905597 3123658564213 34360244206343