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34142333 is a prime number
BaseRepresentation
bin1000001000111…
…1100001111101
32101020121110212
42002033201331
532220023313
63215442205
7563130221
oct202174175
971217425
1034142333
11182aa705
12b526365
1370c5584
14476a781
152ee63a8
hex208f87d

34142333 has 2 divisors, whose sum is σ = 34142334. Its totient is φ = 34142332.

The previous prime is 34142291. The next prime is 34142357. The reversal of 34142333 is 33324143.

34142333 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., 27857284 + 6285049 = 5278^2 + 2507^2 .

It is an emirp because it is prime and its reverse (33324143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34142333 - 216 = 34076797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34142299 and 34142308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34142393) 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, 17071166 + 17071167.

It is an arithmetic number, because the mean of its divisors is an integer number (17071167).

Almost surely, 234142333 is an apocalyptic number.

It is an amenable number.

34142333 is a deficient number, since it is larger than the sum of its proper divisors (1).

34142333 is an equidigital number, since it uses as much as digits as its factorization.

34142333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 23.

The square root of 34142333 is about 5843.1441022792. The cubic root of 34142333 is about 324.4126131913.

Adding to 34142333 its reverse (33324143), we get a palindrome (67466476).

The spelling of 34142333 in words is "thirty-four million, one hundred forty-two thousand, three hundred thirty-three".