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34131771 = 3219199601
BaseRepresentation
bin1000001000110…
…0111100111011
32101020001222200
42002030330323
532214204041
63215321243
7563054352
oct202147473
971201880
1034131771
11182a2783
12b520223
1370c081b
144766999
152ee31b6
hex208cf3b

34131771 has 12 divisors (see below), whose sum is σ = 51896520. Its totient is φ = 21556800.

The previous prime is 34131751. The next prime is 34131787. The reversal of 34131771 is 17713143.

34131771 is a `hidden beast` number, since 341 + 317 + 7 + 1 = 666.

34131771 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34131771 - 223 = 25743163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34131751) 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 11 ways as a sum of consecutive naturals, for example, 99630 + ... + 99971.

It is an arithmetic number, because the mean of its divisors is an integer number (4324710).

Almost surely, 234131771 is an apocalyptic number.

34131771 is a deficient number, since it is larger than the sum of its proper divisors (17764749).

34131771 is a wasteful number, since it uses less digits than its factorization.

34131771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199626 (or 199623 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 34131771 is about 5842.2402381278. The cubic root of 34131771 is about 324.3791571744.

It can be divided in two parts, 3413 and 1771, that added together give a square (5184 = 722).

The spelling of 34131771 in words is "thirty-four million, one hundred thirty-one thousand, seven hundred seventy-one".

Divisors: 1 3 9 19 57 171 199601 598803 1796409 3792419 11377257 34131771