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34041427 = 726710369
BaseRepresentation
bin1000000111011…
…0111001010011
32101001111001121
42001312321103
532203311202
63213343111
7562230100
oct201667123
971044047
1034041427
1118240912
12b497a97
13708b674
144741aa7
152ec6537
hex2076e53

34041427 has 12 divisors (see below), whose sum is σ = 40194120. Its totient is φ = 28740096.

The previous prime is 34041421. The next prime is 34041431. The reversal of 34041427 is 72414043.

34041427 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 34041427 - 23 = 34041419 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34041421) 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, 1902 + ... + 8467.

It is an arithmetic number, because the mean of its divisors is an integer number (3349510).

Almost surely, 234041427 is an apocalyptic number.

34041427 is a deficient number, since it is larger than the sum of its proper divisors (6152693).

34041427 is a wasteful number, since it uses less digits than its factorization.

34041427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 34041427 is about 5834.5031493693. The cubic root of 34041427 is about 324.0927026052.

The spelling of 34041427 in words is "thirty-four million, forty-one thousand, four hundred twenty-seven".

Divisors: 1 7 49 67 469 3283 10369 72583 508081 694723 4863061 34041427