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34065353 = 779229269
BaseRepresentation
bin1000000111110…
…0101111001001
32101002200212202
42001330233021
532210042403
63214045545
7562356620
oct201745711
971080782
1034065353
1118257893
12b4a98b5
13709951a
14474a6b7
152ecd688
hex207cbc9

34065353 has 16 divisors (see below), whose sum is σ = 39744000. Its totient is φ = 28596672.

The previous prime is 34065341. The next prime is 34065359. The reversal of 34065353 is 35356043.

It is a happy number.

34065353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34065353 - 212 = 34061257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34065359) 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 in 15 ways as a sum of consecutive naturals, for example, 126503 + ... + 126771.

It is an arithmetic number, because the mean of its divisors is an integer number (2484000).

Almost surely, 234065353 is an apocalyptic number.

It is an amenable number.

34065353 is a deficient number, since it is larger than the sum of its proper divisors (5678647).

34065353 is a wasteful number, since it uses less digits than its factorization.

34065353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584.

The product of its (nonzero) digits is 16200, while the sum is 29.

The square root of 34065353 is about 5836.5531780324. The cubic root of 34065353 is about 324.1686142880.

The spelling of 34065353 in words is "thirty-four million, sixty-five thousand, three hundred fifty-three".

Divisors: 1 7 79 229 269 553 1603 1883 18091 21251 61601 126637 148757 431207 4866479 34065353