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34132008 = 2334134687
BaseRepresentation
bin1000001000110…
…1000000101000
32101020002022110
42002031000220
532214211013
63215322320
7563055141
oct202150050
971202273
1034132008
11182a2979
12b5203a0
1370c0971
144766ac8
152ee32c3
hex208d028

34132008 has 32 divisors (see below), whose sum is σ = 87413760. Its totient is φ = 11099520.

The previous prime is 34132003. The next prime is 34132009. The reversal of 34132008 is 80023143.

It is a happy number.

It is a super-2 number, since 2×341320082 = 2329987940224128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34132003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16360 + ... + 18327.

It is an arithmetic number, because the mean of its divisors is an integer number (2731680).

Almost surely, 234132008 is an apocalyptic number.

It is an amenable number.

34132008 is an abundant number, since it is smaller than the sum of its proper divisors (53281752).

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

34132008 is a wasteful number, since it uses less digits than its factorization.

34132008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34737 (or 34733 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34132008 is about 5842.2605214078. The cubic root of 34132008 is about 324.3799079674.

The spelling of 34132008 in words is "thirty-four million, one hundred thirty-two thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 34687 69374 104061 138748 208122 277496 416244 832488 1422167 2844334 4266501 5688668 8533002 11377336 17066004 34132008