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320341284169 = 5325921812
BaseRepresentation
bin1001010100101011101…
…01000001010101001001
31010121212010122022212021
410222111311001111021
520222024332043134
6403055053244441
732100232662664
oct4522565012511
91117763568767
10320341284169
11113946338155
1252101793721
132429212a52a
141170c8a66db
1584ed3910b4
hex4a95d41549

320341284169 has 27 divisors (see below), whose sum is σ = 333972279669. Its totient is φ = 307263022560.

The previous prime is 320341284163. The next prime is 320341284217. The reversal of 320341284169 is 961482143023.

The square root of 320341284169 is 565987.

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 60967017225 + 259374266944 = 246915^2 + 509288^2 .

It is not a de Polignac number, because 320341284169 - 215 = 320341251401 is a prime.

It is a super-2 number, since 2×3203412841692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320341284163) 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, 1769841259 + ... + 1769841439.

Almost surely, 2320341284169 is an apocalyptic number.

320341284169 is the 565987-th square number.

320341284169 is the 282994-th centered octagonal number.

It is an amenable number.

320341284169 is a deficient number, since it is larger than the sum of its proper divisors (13630995500).

320341284169 is an frugal number, since it uses more digits than its factorization.

320341284169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 320341284169 in words is "three hundred twenty billion, three hundred forty-one million, two hundred eighty-four thousand, one hundred sixty-nine".

Divisors: 1 53 59 181 2809 3127 3481 9593 10679 32761 165731 184493 508429 565987 630061 1736333 1932899 9778129 29997311 33393233 92025649 102443647 114041041 1769841349 5429513291 6044175173 320341284169