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343642246343 = 11314572205139
BaseRepresentation
bin1010000000000101010…
…11001000110011000111
31012212000000111211221022
411000002223020303013
521112234403340333
6421511141541355
733553526620214
oct5000253106307
91185000454838
10343642246343
111228130a8990
125672511485b
1326536663406
14128bd338b0b
158e13ceec98
hex5002ac8cc7

343642246343 has 16 divisors (see below), whose sum is σ = 387822382080. Its totient is φ = 301662878400.

The previous prime is 343642246253. The next prime is 343642246417.

343642246343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 343642246343 - 224 = 343625469127 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 343642246294 and 343642246303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343642246043) 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, 946733 + ... + 1258406.

It is an arithmetic number, because the mean of its divisors is an integer number (24238898880).

Almost surely, 2343642246343 is an apocalyptic number.

343642246343 is a deficient number, since it is larger than the sum of its proper divisors (44180135737).

343642246343 is a wasteful number, since it uses less digits than its factorization.

343642246343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205638.

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

It can be divided in two parts, 343642 and 246343, that added together give a palindrome (589985).

The spelling of 343642246343 in words is "three hundred forty-three billion, six hundred forty-two million, two hundred forty-six thousand, three hundred forty-three".

Divisors: 1 11 31 341 457 5027 14167 155837 2205139 24256529 68359309 751952399 1007748523 11085233753 31240204213 343642246343