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34142144 = 263371583
BaseRepresentation
bin1000001000111…
…1011111000000
32101020121012212
42002033133000
532220022034
63215441252
7563126531
oct202173700
971217185
1034142144
11182aa553
12b526228
1370c546a
14476a688
152ee62ce
hex208f7c0

34142144 has 28 divisors (see below), whose sum is σ = 67994784. Its totient is φ = 17009664.

The previous prime is 34142117. The next prime is 34142149. The reversal of 34142144 is 44124143.

34142144 = T271 + T272 + ... + T607.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142149) 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 3 ways as a sum of consecutive naturals, for example, 20777 + ... + 22359.

Almost surely, 234142144 is an apocalyptic number.

It is an amenable number.

34142144 is a deficient number, since it is larger than the sum of its proper divisors (33852640).

34142144 is a wasteful number, since it uses less digits than its factorization.

34142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1922 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 34142144 is about 5843.1279294570. The cubic root of 34142144 is about 324.4120145786.

Adding to 34142144 its reverse (44124143), we get a palindrome (78266287).

The spelling of 34142144 in words is "thirty-four million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 337 674 1348 1583 2696 3166 5392 6332 10784 12664 21568 25328 50656 101312 533471 1066942 2133884 4267768 8535536 17071072 34142144