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34858441393 is a prime number
BaseRepresentation
bin100000011101101110…
…011001101010110001
310022222100022022000221
4200131232121222301
51032342230111033
624002545213041
72342552602006
oct403556315261
9108870268027
1034858441393
1113868754a56
12690a031181
133396abc0a9
1419897bb8ad
15d9041c12d
hex81db99ab1

34858441393 has 2 divisors, whose sum is σ = 34858441394. Its totient is φ = 34858441392.

The previous prime is 34858441349. The next prime is 34858441403. The reversal of 34858441393 is 39314485843.

It is a happy number.

34858441393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23467788864 + 11390652529 = 153192^2 + 106727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34858441393 is a prime.

It is a super-2 number, since 2×348584413932 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34858441393.

It is not a weakly prime, because it can be changed into another prime (34858441193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17429220696 + 17429220697.

It is an arithmetic number, because the mean of its divisors is an integer number (17429220697).

Almost surely, 234858441393 is an apocalyptic number.

It is an amenable number.

34858441393 is a deficient number, since it is larger than the sum of its proper divisors (1).

34858441393 is an equidigital number, since it uses as much as digits as its factorization.

34858441393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4976640, while the sum is 52.

The spelling of 34858441393 in words is "thirty-four billion, eight hundred fifty-eight million, four hundred forty-one thousand, three hundred ninety-three".