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34803133 is a prime number
BaseRepresentation
bin1000010011000…
…0110110111101
32102111011220221
42010300312331
532402200013
63241541341
7601551601
oct204606675
972434827
1034803133
1118711122
12b7a4851
137297291
14489d501
1530c708d
hex2130dbd

34803133 has 2 divisors, whose sum is σ = 34803134. Its totient is φ = 34803132.

The previous prime is 34803121. The next prime is 34803143. The reversal of 34803133 is 33130843.

34803133 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., 34597924 + 205209 = 5882^2 + 453^2 .

It is an emirp because it is prime and its reverse (33130843) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34803133 - 25 = 34803101 is a prime.

It is a super-2 number, since 2×348031332 = 2422516133231378, which contains 22 as substring.

It is equal to p2135419 and since 34803133 and 2135419 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 34803098 and 34803107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34803143) 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, 17401566 + 17401567.

It is an arithmetic number, because the mean of its divisors is an integer number (17401567).

Almost surely, 234803133 is an apocalyptic number.

It is an amenable number.

34803133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34803133 is an equidigital number, since it uses as much as digits as its factorization.

34803133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 34803133 is about 5899.4180221442. The cubic root of 34803133 is about 326.4921775105.

Adding to 34803133 its reverse (33130843), we get a palindrome (67933976).

The spelling of 34803133 in words is "thirty-four million, eight hundred three thousand, one hundred thirty-three".