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34053271 = 723257823
BaseRepresentation
bin1000000111100…
…1110010010111
32101002002022021
42001321302113
532204201041
63213514011
7562306450
oct201716227
971062267
1034053271
11182497aa
12b4a2907
137093b85
144746127
152ec9cd1
hex2079c97

34053271 has 16 divisors (see below), whose sum is σ = 40817664. Its totient is φ = 27777024.

The previous prime is 34053241. The next prime is 34053277. The reversal of 34053271 is 17235043.

34053271 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 a de Polignac number, because none of the positive numbers 2k-34053271 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34053277) 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, 40966 + ... + 41788.

It is an arithmetic number, because the mean of its divisors is an integer number (2551104).

Almost surely, 234053271 is an apocalyptic number.

34053271 is a deficient number, since it is larger than the sum of its proper divisors (6764393).

34053271 is a wasteful number, since it uses less digits than its factorization.

34053271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 34053271 is about 5835.5180575507. The cubic root of 34053271 is about 324.1302853313.

The spelling of 34053271 in words is "thirty-four million, fifty-three thousand, two hundred seventy-one".

Divisors: 1 7 23 161 257 823 1799 5761 5911 18929 41377 132503 211511 1480577 4864753 34053271