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343023320343 = 31171591451969
BaseRepresentation
bin1001111110111011100…
…10000111110100010111
31012210101212220011002010
410333131302013310113
521110002432222333
6421325512115303
733532303054224
oct4773562076427
91183355804063
10343023320343
111225257a36a0
1256591995b33
132646836c202
141286106694b
158dc97e4563
hex4fddc87d17

343023320343 has 16 divisors (see below), whose sum is σ = 499013049600. Its totient is φ = 207863738880.

The previous prime is 343023320291. The next prime is 343023320347.

It is a happy number.

343023320343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343023320343 - 212 = 343023316247 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 343023320343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343023320347) 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, 489738 + ... + 962231.

It is an arithmetic number, because the mean of its divisors is an integer number (31188315600).

Almost surely, 2343023320343 is an apocalyptic number.

343023320343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343023320343 is a deficient number, since it is larger than the sum of its proper divisors (155989729257).

343023320343 is a wasteful number, since it uses less digits than its factorization.

343023320343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459142.

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 343023 and 320343, that added together give a palindrome (663366).

The spelling of 343023320343 in words is "three hundred forty-three billion, twenty-three million, three hundred twenty thousand, three hundred forty-three".

Divisors: 1 3 11 33 7159 21477 78749 236247 1451969 4355907 15971659 47914977 10394646071 31183938213 114341106781 343023320343