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34344044343 = 32710121412521
BaseRepresentation
bin11111111111000100…
…001000011100110111
310021122111101012221100
4133333010020130313
51030314033404333
623435532021143
72324035363110
oct377704103467
9107574335840
1034344044343
1113624354924
1267a59017b3
133314365c3b
14193b359207
15d601ad213
hex7ff108737

34344044343 has 48 divisors (see below), whose sum is σ = 57305731392. Its totient is φ = 19414080000.

The previous prime is 34344044341. The next prime is 34344044387.

34344044343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34344044343 - 21 = 34344044341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34344044298 and 34344044307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344044341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13621923 + ... + 13624443.

It is an arithmetic number, because the mean of its divisors is an integer number (1193869404).

Almost surely, 234344044343 is an apocalyptic number.

34344044343 is a deficient number, since it is larger than the sum of its proper divisors (22961687049).

34344044343 is a wasteful number, since it uses less digits than its factorization.

34344044343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 343440 and 44343, that added together give a palindrome (387783).

The spelling of 34344044343 in words is "thirty-four billion, three hundred forty-four million, forty-four thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 63 101 303 707 909 2121 2141 2521 6363 6423 7563 14987 17647 19269 22689 44961 52941 134883 158823 216241 254621 648723 763863 1513687 1782347 1946169 2291589 4541061 5347041 5397461 13623183 16041123 16192383 37782227 48577149 113346681 340040043 545143561 1635430683 3816004927 4906292049 11448014781 34344044343