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343414414343 = 71113343071343
BaseRepresentation
bin1001111111101010001…
…10000001110000000111
31012211102010210210012002
410333311012001300013
521111303042224333
6421432402415515
733545062234040
oct4776506016007
91184363723162
10343414414343
11122706536380
125668096159b
13264cb3b2b90
141289ad8d8c7
158dedce90e8
hex4ff5181c07

343414414343 has 16 divisors (see below), whose sum is σ = 461087886336. Its totient is φ = 247011366240.

The previous prime is 343414414319. The next prime is 343414414363.

343414414343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 343414414343 - 26 = 343414414279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343414414297 and 343414414306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343414414363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171534671 + ... + 171536672.

It is an arithmetic number, because the mean of its divisors is an integer number (28817992896).

Almost surely, 2343414414343 is an apocalyptic number.

343414414343 is a deficient number, since it is larger than the sum of its proper divisors (117673471993).

343414414343 is a wasteful number, since it uses less digits than its factorization.

343414414343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343071374.

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 343414 and 414343, that added together give a palindrome (757757).

The spelling of 343414414343 in words is "three hundred forty-three billion, four hundred fourteen million, four hundred fourteen thousand, three hundred forty-three".

Divisors: 1 7 11 13 77 91 143 1001 343071343 2401499401 3773784773 4459927459 26416493411 31219492213 49059202049 343414414343