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34182819 = 3211449769
BaseRepresentation
bin1000001001100…
…1011010100011
32101022200000100
42002121122203
532222322234
63220353443
7563356236
oct202313243
971280010
1034182819
1118328070
12b545883
13710ab28
14477b41d
153003399
hex20996a3

34182819 has 24 divisors (see below), whose sum is σ = 54054000. Its totient is φ = 20643840.

The previous prime is 34182817. The next prime is 34182823. The reversal of 34182819 is 91828143.

It is not a de Polignac number, because 34182819 - 21 = 34182817 is a prime.

It is a super-2 number, since 2×341828192 = 2336930229573522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34182817) 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, 44067 + ... + 44835.

It is an arithmetic number, because the mean of its divisors is an integer number (2252250).

Almost surely, 234182819 is an apocalyptic number.

34182819 is a deficient number, since it is larger than the sum of its proper divisors (19871181).

34182819 is a wasteful number, since it uses less digits than its factorization.

34182819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1232 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 34182819 is about 5846.6074778456. The cubic root of 34182819 is about 324.5407921002.

The spelling of 34182819 in words is "thirty-four million, one hundred eighty-two thousand, eight hundred nineteen".

Divisors: 1 3 9 11 33 99 449 769 1347 2307 4041 4939 6921 8459 14817 25377 44451 76131 345281 1035843 3107529 3798091 11394273 34182819