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34186041 = 3229130981
BaseRepresentation
bin1000001001101…
…0001100111001
32101022211102200
42002122030321
532222423131
63220420413
7563401521
oct202321471
971284380
1034186041
111832a52a
12b547709
13710c436
14477c681
1530042e6
hex209a339

34186041 has 12 divisors (see below), whose sum is σ = 51082980. Its totient is φ = 22004640.

The previous prime is 34185971. The next prime is 34186049. The reversal of 34186041 is 14068143.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 27405225 = 2604^2 + 5235^2 .

It is not a de Polignac number, because 34186041 - 222 = 29991737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34185996 and 34186014.

It is not an unprimeable number, because it can be changed into a prime (34186049) 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 in 11 ways as a sum of consecutive naturals, for example, 65230 + ... + 65751.

It is an arithmetic number, because the mean of its divisors is an integer number (4256915).

Almost surely, 234186041 is an apocalyptic number.

It is an amenable number.

34186041 is a deficient number, since it is larger than the sum of its proper divisors (16896939).

34186041 is a wasteful number, since it uses less digits than its factorization.

34186041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131016 (or 131013 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 34186041 is about 5846.8830157615. The cubic root of 34186041 is about 324.5509886220.

The spelling of 34186041 in words is "thirty-four million, one hundred eighty-six thousand, forty-one".

Divisors: 1 3 9 29 87 261 130981 392943 1178829 3798449 11395347 34186041