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8434970417 is a prime number
BaseRepresentation
bin1111101101100001…
…10110111100110001
3210202211212220010202
413312300312330301
5114233323023132
63512554404545
7416012031326
oct76660667461
923684786122
108434970417
113639359135
121774a30755
13a456a9b73
145a0372b4d
153457ba762
hex1f6c36f31

8434970417 has 2 divisors, whose sum is σ = 8434970418. Its totient is φ = 8434970416.

The previous prime is 8434970353. The next prime is 8434970419. The reversal of 8434970417 is 7140794348.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8404488976 + 30481441 = 91676^2 + 5521^2 .

It is a cyclic number.

It is not a de Polignac number, because 8434970417 - 26 = 8434970353 is a prime.

It is a super-2 number, since 2×84349704172 (a number of 21 digits) contains 22 as substring.

Together with 8434970419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8434970419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4217485208 + 4217485209.

It is an arithmetic number, because the mean of its divisors is an integer number (4217485209).

Almost surely, 28434970417 is an apocalyptic number.

It is an amenable number.

8434970417 is a deficient number, since it is larger than the sum of its proper divisors (1).

8434970417 is an equidigital number, since it uses as much as digits as its factorization.

8434970417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 8434970417 is about 91842.0950163921. The cubic root of 8434970417 is about 2035.6097448623.

The spelling of 8434970417 in words is "eight billion, four hundred thirty-four million, nine hundred seventy thousand, four hundred seventeen".