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34405033297 is a prime number
BaseRepresentation
bin100000000010101100…
…110010010101010001
310021210202010210001111
4200002230302111101
51030430142031142
623445551133321
72325405646345
oct400254622521
9107722123044
1034405033297
1113655820818
126802214241
133323b9b08b
1419454b3625
15d65708e17
hex802b32551

34405033297 has 2 divisors, whose sum is σ = 34405033298. Its totient is φ = 34405033296.

The previous prime is 34405033291. The next prime is 34405033301. The reversal of 34405033297 is 79233050443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25999627536 + 8405405761 = 161244^2 + 91681^2 .

It is a cyclic number.

It is not a de Polignac number, because 34405033297 - 215 = 34405000529 is a prime.

It is not a weakly prime, because it can be changed into another prime (34405033291) 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, 17202516648 + 17202516649.

It is an arithmetic number, because the mean of its divisors is an integer number (17202516649).

Almost surely, 234405033297 is an apocalyptic number.

It is an amenable number.

34405033297 is a deficient number, since it is larger than the sum of its proper divisors (1).

34405033297 is an equidigital number, since it uses as much as digits as its factorization.

34405033297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 40.

The spelling of 34405033297 in words is "thirty-four billion, four hundred five million, thirty-three thousand, two hundred ninety-seven".