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344435534443 = 711133209107227
BaseRepresentation
bin1010000001100011111…
…01010010101001101011
31012221001022020001122001
411000301331102221223
521120400444100233
6422122000511431
733612301510420
oct5006175225153
91187038201561
10344435534443
1112308a974a90
125690691b577
1326631b06260
1412956837d47
158e5d79d27d
hex5031f52a6b

344435534443 has 32 divisors (see below), whose sum is σ = 462607326720. Its totient is φ = 247666325760.

The previous prime is 344435534441. The next prime is 344435534453.

344435534443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344435534443 - 21 = 344435534441 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 344435534393 and 344435534402.

It is not an unprimeable number, because it can be changed into a prime (344435534441) 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 31 ways as a sum of consecutive naturals, for example, 3158596 + ... + 3265822.

It is an arithmetic number, because the mean of its divisors is an integer number (14456478960).

Almost surely, 2344435534443 is an apocalyptic number.

344435534443 is a deficient number, since it is larger than the sum of its proper divisors (118171792277).

344435534443 is a wasteful number, since it uses less digits than its factorization.

344435534443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110467.

The product of its digits is 8294400, while the sum is 46.

It can be divided in two parts, 344435 and 534443, that added together give a palindrome (878878).

The spelling of 344435534443 in words is "three hundred forty-four billion, four hundred thirty-five million, five hundred thirty-four thousand, four hundred forty-three".

Divisors: 1 7 11 13 77 91 143 1001 3209 22463 35299 41717 107227 247093 292019 458887 750589 1179497 1393951 3212209 8256479 9757657 15333461 107334227 344091443 2408640101 3785005873 4473188759 26495041111 31312321313 49205076349 344435534443