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34003640257 is a prime number
BaseRepresentation
bin11111101010110001…
…100101111111000001
310020202202211220022121
4133222301211333001
51024114412442012
623342052004241
72312433113266
oct375261457701
9106682756277
1034003640257
111346a194234
12670b900681
13328b98c6c2
14190806926d
15d4036ca07
hex7eac65fc1

34003640257 has 2 divisors, whose sum is σ = 34003640258. Its totient is φ = 34003640256.

The previous prime is 34003640221. The next prime is 34003640303. The reversal of 34003640257 is 75204630043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21013111681 + 12990528576 = 144959^2 + 113976^2 .

It is an emirp because it is prime and its reverse (75204630043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34003640257 - 231 = 31856156609 is a prime.

It is not a weakly prime, because it can be changed into another prime (34003640207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17001820128 + 17001820129.

It is an arithmetic number, because the mean of its divisors is an integer number (17001820129).

Almost surely, 234003640257 is an apocalyptic number.

It is an amenable number.

34003640257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34003640257 is an equidigital number, since it uses as much as digits as its factorization.

34003640257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 34.

The spelling of 34003640257 in words is "thirty-four billion, three million, six hundred forty thousand, two hundred fifty-seven".