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344304332343 = 3313999115091
BaseRepresentation
bin1010000001010100010…
…00110010111000110111
31012220201011100022012000
411000222020302320313
521120113402113333
6422100552430343
733606116352126
oct5005210627067
91186634308160
10344304332343
111230229019a4
125688a9a83b3
132661088958a
1412943243abd
158e51ed3713
hex502a232e37

344304332343 has 16 divisors (see below), whose sum is σ = 510445152000. Its totient is φ = 229372124760.

The previous prime is 344304332327. The next prime is 344304332353. The reversal of 344304332343 is 343233403443.

344304332343 is a `hidden beast` number, since 3 + 4 + 4 + 304 + 3 + 3 + 2 + 343 = 666.

It is not a de Polignac number, because 344304332343 - 24 = 344304332327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344304332298 and 344304332307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344304332353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4519773 + ... + 4595318.

It is an arithmetic number, because the mean of its divisors is an integer number (31902822000).

Almost surely, 2344304332343 is an apocalyptic number.

344304332343 is a deficient number, since it is larger than the sum of its proper divisors (166140819657).

344304332343 is a wasteful number, since it uses less digits than its factorization.

344304332343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9116499 (or 9116493 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 344304332343 its reverse (343233403443), we get a palindrome (687537735786).

The spelling of 344304332343 in words is "three hundred forty-four billion, three hundred four million, three hundred thirty-two thousand, three hundred forty-three".

Divisors: 1 3 9 27 1399 4197 12591 37773 9115091 27345273 82035819 246107457 12752012309 38256036927 114768110781 344304332343