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34364370277 is a prime number
BaseRepresentation
bin100000000000010001…
…101010110101100101
310021200220121212212201
4200000101222311211
51030334234322102
623441535414501
72324403220306
oct400021526545
9107626555781
1034364370277
1113634878016
1267b0684431
133318631813
14193dd2a7ad
15d61d75987
hex80046ad65

34364370277 has 2 divisors, whose sum is σ = 34364370278. Its totient is φ = 34364370276.

The previous prime is 34364370269. The next prime is 34364370301. The reversal of 34364370277 is 77207346343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23637832516 + 10726537761 = 153746^2 + 103569^2 .

It is an emirp because it is prime and its reverse (77207346343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34364370277 - 23 = 34364370269 is a prime.

It is a super-2 number, since 2×343643702772 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34367370277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17182185138 + 17182185139.

It is an arithmetic number, because the mean of its divisors is an integer number (17182185139).

Almost surely, 234364370277 is an apocalyptic number.

It is an amenable number.

34364370277 is a deficient number, since it is larger than the sum of its proper divisors (1).

34364370277 is an equidigital number, since it uses as much as digits as its factorization.

34364370277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1778112, while the sum is 46.

The spelling of 34364370277 in words is "thirty-four billion, three hundred sixty-four million, three hundred seventy thousand, two hundred seventy-seven".