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3417922369 = 1721921812
BaseRepresentation
bin1100101110111001…
…0101101101000001
322211012102110001101
43023232111231001
523444442003434
61323053534401
7150461601151
oct31356255501
98735373041
103417922369
1114a4367734
127b47a4401
1342615c694
14245d14761
151500e7b14
hexcbb95b41

3417922369 has 27 divisors (see below), whose sum is σ = 3853243881. Its totient is φ = 3030721920.

The previous prime is 3417922363. The next prime is 3417922423. The reversal of 3417922369 is 9632297143.

The square root of 3417922369 is 58463.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 481583025 + 2936339344 = 21945^2 + 54188^2 .

It is not a de Polignac number, because 3417922369 - 219 = 3417398081 is a prime.

It is a super-2 number, since 2×34179223692 = 23364386641021144322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3417922363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18883459 + ... + 18883639.

Almost surely, 23417922369 is an apocalyptic number.

3417922369 is the 58463-rd square number.

3417922369 is the 29232-nd centered octagonal number.

It is an amenable number.

3417922369 is a deficient number, since it is larger than the sum of its proper divisors (435321512).

3417922369 is an equidigital number, since it uses as much as digits as its factorization.

3417922369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its digits is 489888, while the sum is 46.

The cubic root of 3417922369 is about 1506.3321015285.

The spelling of 3417922369 in words is "three billion, four hundred seventeen million, nine hundred twenty-two thousand, three hundred sixty-nine".

Divisors: 1 17 19 181 289 323 361 3077 3439 5491 6137 32761 52309 58463 65341 104329 556937 622459 993871 1110797 9467929 10581803 11826721 18883549 179890651 201054257 3417922369