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34042505 = 572413389
BaseRepresentation
bin1000000111011…
…1001010001001
32101001112112112
42001313022021
532203330010
63213352105
7562233200
oct201671211
971045475
1034042505
1118241702
12b498635
13708bcc3
144742237
152ec6a05
hex2077289

34042505 has 24 divisors (see below), whose sum is σ = 48693960. Its totient is φ = 22767360.

The previous prime is 34042501. The next prime is 34042513. The reversal of 34042505 is 50524043.

It can be written as a sum of positive squares in 4 ways, for example, as 3924361 + 30118144 = 1981^2 + 5488^2 .

It is not a de Polignac number, because 34042505 - 22 = 34042501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34042501) 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 23 ways as a sum of consecutive naturals, for example, 8351 + ... + 11739.

It is an arithmetic number, because the mean of its divisors is an integer number (2028915).

Almost surely, 234042505 is an apocalyptic number.

34042505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34042505 is a deficient number, since it is larger than the sum of its proper divisors (14651455).

34042505 is a wasteful number, since it uses less digits than its factorization.

34042505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 34042505 is about 5834.5955301117. The cubic root of 34042505 is about 324.0961236158.

Adding to 34042505 its reverse (50524043), we get a palindrome (84566548).

The spelling of 34042505 in words is "thirty-four million, forty-two thousand, five hundred five".

Divisors: 1 5 7 35 41 49 205 245 287 1435 2009 3389 10045 16945 23723 118615 138949 166061 694745 830305 972643 4863215 6808501 34042505