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34304001601 is a prime number
BaseRepresentation
bin11111111100101011…
…011000011001000001
310021112201000211121211
4133330223120121001
51030223311022401
623431541450121
72323041126322
oct377453303101
9107481024554
1034304001601
1113603795151
126794410941
133308c85acc
141935cd4449
15d5b8ed951
hex7fcad8641

34304001601 has 2 divisors, whose sum is σ = 34304001602. Its totient is φ = 34304001600.

The previous prime is 34304001587. The next prime is 34304001619. The reversal of 34304001601 is 10610040343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18563790001 + 15740211600 = 136249^2 + 125460^2 .

It is a cyclic number.

It is not a de Polignac number, because 34304001601 - 211 = 34303999553 is a prime.

It is not a weakly prime, because it can be changed into another prime (34304001691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17152000800 + 17152000801.

It is an arithmetic number, because the mean of its divisors is an integer number (17152000801).

Almost surely, 234304001601 is an apocalyptic number.

It is an amenable number.

34304001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

34304001601 is an equidigital number, since it uses as much as digits as its factorization.

34304001601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 34304001601 its reverse (10610040343), we get a palindrome (44914041944).

The spelling of 34304001601 in words is "thirty-four billion, three hundred four million, one thousand, six hundred one".