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34249094243 = 7213101607877
BaseRepresentation
bin11111111001011001…
…111011010001100011
310021101212201020212222
4133321121323101203
51030120232003433
623422300541255
72321503332500
oct377131732143
9107355636788
1034249094243
11135857a2471
126779b5182b
1332ca79cb50
14192c8c04a7
15d56ba4b98
hex7f967b463

34249094243 has 48 divisors (see below), whose sum is σ = 43451138304. Its totient is φ = 26755142400.

The previous prime is 34249094213. The next prime is 34249094249.

34249094243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34249094243 - 224 = 34232317027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34249094194 and 34249094203.

It is not an unprimeable number, because it can be changed into a prime (34249094249) 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, 39052121 + ... + 39052997.

It is an arithmetic number, because the mean of its divisors is an integer number (905232048).

Almost surely, 234249094243 is an apocalyptic number.

34249094243 is a deficient number, since it is larger than the sum of its proper divisors (9202044061).

34249094243 is a wasteful number, since it uses less digits than its factorization.

34249094243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 34249094243 in words is "thirty-four billion, two hundred forty-nine million, ninety-four thousand, two hundred forty-three".

Divisors: 1 7 13 49 91 101 607 637 707 877 1313 4249 4949 6139 7891 9191 11401 29743 42973 55237 61307 64337 79807 88577 386659 429149 532339 558649 620039 796991 1151501 3004043 3726373 4340273 5578937 6920407 8060507 26084611 39052559 48442849 53766239 56423549 339099943 376363673 698961107 2634545711 4892727749 34249094243