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10344320343 = 327315296631
BaseRepresentation
bin10011010001001000…
…11100110101010111
3222200220122220211200
421220210130311113
5132141121222333
64430242403543
7514225162230
oct115044346527
928626586750
1010344320343
11442910aa85
1220083605b3
13c8b135416
14701b92087
15408223c13
hex26891cd57

10344320343 has 24 divisors (see below), whose sum is σ = 17627191296. Its totient is φ = 5720360400.

The previous prime is 10344320341. The next prime is 10344320431. The reversal of 10344320343 is 34302344301.

10344320343 is a `hidden beast` number, since 10 + 3 + 443 + 203 + 4 + 3 = 666.

10344320343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10344320343 - 21 = 10344320341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344320341) 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 23 ways as a sum of consecutive naturals, for example, 2646363 + ... + 2650268.

It is an arithmetic number, because the mean of its divisors is an integer number (734466304).

Almost surely, 210344320343 is an apocalyptic number.

10344320343 is a deficient number, since it is larger than the sum of its proper divisors (7282870953).

10344320343 is a wasteful number, since it uses less digits than its factorization.

10344320343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296675 (or 5296672 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 10344320343 its reverse (34302344301), we get a palindrome (44646664644).

The spelling of 10344320343 in words is "ten billion, three hundred forty-four million, three hundred twenty thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 5296631 15889893 37076417 47669679 111229251 164195561 333687753 492586683 1149368927 1477760049 3448106781 10344320343