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34320897081 = 3237216692
BaseRepresentation
bin11111111101101011…
…110101010000111001
310021120212211012212100
4133331223311100321
51030242122201311
623433343534013
72323334545302
oct377553652071
9107525735770
1034320897081
1113612284a59
126799bba309
13330c620133
1419382517a9
15d5d139a56
hex7fdaf5439

34320897081 has 27 divisors (see below), whose sum is σ = 50981242221. Its totient is φ = 22248864864.

The previous prime is 34320897047. The next prime is 34320897109. The reversal of 34320897081 is 18079802343.

The square root of 34320897081 is 185259.

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 7561172025 + 26759725056 = 86955^2 + 163584^2 .

It is not a de Polignac number, because 34320897081 - 227 = 34186679353 is a prime.

It is a super-2 number, since 2×343208970812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34320897011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20562915 + ... + 20564583.

Almost surely, 234320897081 is an apocalyptic number.

34320897081 is the 185259-th square number.

34320897081 is the 92630-th centered octagonal number.

It is an amenable number.

34320897081 is a deficient number, since it is larger than the sum of its proper divisors (16660345140).

34320897081 is an frugal number, since it uses more digits than its factorization.

34320897081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 34320897081 in words is "thirty-four billion, three hundred twenty million, eight hundred ninety-seven thousand, eighty-one".

Divisors: 1 3 9 37 111 333 1369 1669 4107 5007 12321 15021 61753 185259 555777 2284861 2785561 6854583 8356683 20563749 25070049 103065757 309197271 927591813 3813433009 11440299027 34320897081