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34304030401 is a prime number
BaseRepresentation
bin11111111100101011…
…011111011011000001
310021112201002022010111
4133330223133123001
51030223312433101
623431542231321
72323041306304
oct377453373301
9107481068114
1034304030401
1113603804853
126794425541
133308c95c54
141935d00b3b
15d5b907251
hex7fcadf6c1

34304030401 has 2 divisors, whose sum is σ = 34304030402. Its totient is φ = 34304030400.

The previous prime is 34304030357. The next prime is 34304030441. The reversal of 34304030401 is 10403040343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33388060176 + 915970225 = 182724^2 + 30265^2 .

It is an emirp because it is prime and its reverse (10403040343) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34304030401 is a prime.

It is not a weakly prime, because it can be changed into another prime (34304030441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17152015200 + 17152015201.

It is an arithmetic number, because the mean of its divisors is an integer number (17152015201).

Almost surely, 234304030401 is an apocalyptic number.

It is an amenable number.

34304030401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34304030401 is an equidigital number, since it uses as much as digits as its factorization.

34304030401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 34304030401 its reverse (10403040343), we get a palindrome (44707070744).

The spelling of 34304030401 in words is "thirty-four billion, three hundred four million, thirty thousand, four hundred one".