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34117333 is a prime number
BaseRepresentation
bin1000001000100…
…1011011010101
32101012100011221
42002021123111
532213223313
63215130341
7562664305
oct202113325
971170157
1034117333
1118292948
12b5139b1
1370b7093
144761605
152eddc8d
hex20896d5

34117333 has 2 divisors, whose sum is σ = 34117334. Its totient is φ = 34117332.

The previous prime is 34117301. The next prime is 34117337. The reversal of 34117333 is 33371143.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28323684 + 5793649 = 5322^2 + 2407^2 .

It is a cyclic number.

It is not a de Polignac number, because 34117333 - 25 = 34117301 is a prime.

It is a super-2 number, since 2×341173332 = 2327984822065778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34117298 and 34117307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34117337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17058666 + 17058667.

It is an arithmetic number, because the mean of its divisors is an integer number (17058667).

Almost surely, 234117333 is an apocalyptic number.

It is an amenable number.

34117333 is a deficient number, since it is larger than the sum of its proper divisors (1).

34117333 is an equidigital number, since it uses as much as digits as its factorization.

34117333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 25.

The square root of 34117333 is about 5841.0044512909. The cubic root of 34117333 is about 324.3334124361. Note that the first 3 decimals are identical.

Adding to 34117333 its reverse (33371143), we get a palindrome (67488476).

The spelling of 34117333 in words is "thirty-four million, one hundred seventeen thousand, three hundred thirty-three".