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34357350413 is a prime number
BaseRepresentation
bin11111111111110110…
…111001000000001101
310021200102102020102202
4133333312321000031
51030330440203123
623441125131245
72324256442241
oct377766710015
9107612366382
1034357350413
1113630912981
1267aa259b25
133317044559
14193d020421
15d6143aa28
hex7ffdb900d

34357350413 has 2 divisors, whose sum is σ = 34357350414. Its totient is φ = 34357350412.

The previous prime is 34357350397. The next prime is 34357350449. The reversal of 34357350413 is 31405375343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34122586729 + 234763684 = 184723^2 + 15322^2 .

It is a cyclic number.

It is not a de Polignac number, because 34357350413 - 24 = 34357350397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34357356413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17178675206 + 17178675207.

It is an arithmetic number, because the mean of its divisors is an integer number (17178675207).

Almost surely, 234357350413 is an apocalyptic number.

It is an amenable number.

34357350413 is a deficient number, since it is larger than the sum of its proper divisors (1).

34357350413 is an equidigital number, since it uses as much as digits as its factorization.

34357350413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 226800, while the sum is 38.

The spelling of 34357350413 in words is "thirty-four billion, three hundred fifty-seven million, three hundred fifty thousand, four hundred thirteen".