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344343313341 = 321312111384189
BaseRepresentation
bin1010000001011000111…
…01011111101110111101
31012220210212200202001200
411000230131133232331
521120203342011331
6422104504130113
733610101604266
oct5005435375675
91186725622050
10344343313341
111230429069a5
125689ba66939
1326618987361
14129484ad96d
158e556335e6
hex502c75fbbd

344343313341 has 24 divisors (see below), whose sum is σ = 503557248480. Its totient is φ = 226729994400.

The previous prime is 344343313337. The next prime is 344343313351. The reversal of 344343313341 is 143313343443.

344343313341 is a `hidden beast` number, since 3 + 443 + 43 + 3 + 133 + 41 = 666.

It is not a de Polignac number, because 344343313341 - 22 = 344343313337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344343313296 and 344343313305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344343313351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443326 + ... + 940863.

It is an arithmetic number, because the mean of its divisors is an integer number (20981552020).

Almost surely, 2344343313341 is an apocalyptic number.

It is an amenable number.

344343313341 is a deficient number, since it is larger than the sum of its proper divisors (159213935139).

344343313341 is a wasteful number, since it uses less digits than its factorization.

344343313341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384537 (or 1384534 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

Adding to 344343313341 its reverse (143313343443), we get a palindrome (487656656784).

The spelling of 344343313341 in words is "three hundred forty-four billion, three hundred forty-three million, three hundred thirteen thousand, three hundred forty-one".

Divisors: 1 3 9 131 211 393 633 1179 1899 27641 82923 248769 1384189 4152567 12457701 181328759 292063879 543986277 876191637 1631958831 2628574911 38260368149 114781104447 344343313341