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34368670337 is a prime number
BaseRepresentation
bin100000000000100010…
…000100101010000001
310021201012201100110012
4200000202010222001
51030341334422322
623442211514305
72324454610031
oct400042045201
9107635640405
1034368670337
1113637244791
1267b1bb8995
1333194a8b31
1419407298c1
15d62424ae2
hex800884a81

34368670337 has 2 divisors, whose sum is σ = 34368670338. Its totient is φ = 34368670336.

The previous prime is 34368670331. The next prime is 34368670339. The reversal of 34368670337 is 73307686343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34105224976 + 263445361 = 184676^2 + 16231^2 .

It is a cyclic number.

It is not a de Polignac number, because 34368670337 - 214 = 34368653953 is a prime.

It is a super-5 number, since 5×343686703375 (a number of 54 digits) contains 55555 as substring.

Together with 34368670339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34368670331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17184335168 + 17184335169.

It is an arithmetic number, because the mean of its divisors is an integer number (17184335169).

Almost surely, 234368670337 is an apocalyptic number.

It is an amenable number.

34368670337 is a deficient number, since it is larger than the sum of its proper divisors (1).

34368670337 is an equidigital number, since it uses as much as digits as its factorization.

34368670337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4572288, while the sum is 50.

The spelling of 34368670337 in words is "thirty-four billion, three hundred sixty-eight million, six hundred seventy thousand, three hundred thirty-seven".