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34438081 is a prime number
BaseRepresentation
bin1000001101011…
…1101111000001
32101210122011111
42003113233001
532304004311
63230043321
7565501366
oct203275701
971718144
1034438081
1118491927
12b649541
13719a082
14480646d
153053d21
hex20d7bc1

34438081 has 2 divisors, whose sum is σ = 34438082. Its totient is φ = 34438080.

The previous prime is 34438069. The next prime is 34438091. The reversal of 34438081 is 18083443.

34438081 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., 32433025 + 2005056 = 5695^2 + 1416^2 .

It is a cyclic number.

It is not a de Polignac number, because 34438081 - 221 = 32340929 is a prime.

It is a super-2 number, since 2×344380812 = 2371962845925122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34438021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17219040 + 17219041.

It is an arithmetic number, because the mean of its divisors is an integer number (17219041).

Almost surely, 234438081 is an apocalyptic number.

34438081 is the 3712-nd centered pentagonal number.

It is an amenable number.

34438081 is a deficient number, since it is larger than the sum of its proper divisors (1).

34438081 is an equidigital number, since it uses as much as digits as its factorization.

34438081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 34438081 is about 5868.3967998083. The cubic root of 34438081 is about 325.3466313496.

The spelling of 34438081 in words is "thirty-four million, four hundred thirty-eight thousand, eighty-one".