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34059144 = 2337202733
BaseRepresentation
bin1000000111101…
…1001110001000
32101002101100210
42001323032020
532204343034
63214001120
7562332540
oct201731610
971071323
1034059144
1118253159
12b4a61a0
137096752
144748320
152ecb8e9
hex207b388

34059144 has 32 divisors (see below), whose sum is σ = 97312320. Its totient is φ = 9731136.

The previous prime is 34059127. The next prime is 34059163. The reversal of 34059144 is 44195043.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 101199 + ... + 101534.

It is an arithmetic number, because the mean of its divisors is an integer number (3041010).

Almost surely, 234059144 is an apocalyptic number.

It is an amenable number.

34059144 is an abundant number, since it is smaller than the sum of its proper divisors (63253176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34059144 is a wasteful number, since it uses less digits than its factorization.

34059144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202749 (or 202745 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 34059144 is about 5836.0212473911. The cubic root of 34059144 is about 324.1489179783.

The spelling of 34059144 in words is "thirty-four million, fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 202733 405466 608199 810932 1216398 1419131 1621864 2432796 2838262 4257393 4865592 5676524 8514786 11353048 17029572 34059144