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34705083 = 373291163
BaseRepresentation
bin1000010001100…
…0111010111011
32102022012102110
42010120322323
532341030313
63235503403
7600663000
oct204307273
972265373
1034705083
1118654496
12b757b63
13726176a
1448758a7
1530a7ec3
hex2118ebb

34705083 has 32 divisors (see below), whose sum is σ = 55872000. Its totient is φ = 19131168.

The previous prime is 34705061. The next prime is 34705133. The reversal of 34705083 is 38050743.

34705083 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34705083 - 213 = 34696891 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34705083.

It is not an unprimeable number, because it can be changed into a prime (34701083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29260 + ... + 30422.

It is an arithmetic number, because the mean of its divisors is an integer number (1746000).

Almost surely, 234705083 is an apocalyptic number.

34705083 is a deficient number, since it is larger than the sum of its proper divisors (21166917).

34705083 is a wasteful number, since it uses less digits than its factorization.

34705083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 34705083 is about 5891.1020191472. The cubic root of 34705083 is about 326.1852830338.

The spelling of 34705083 in words is "thirty-four million, seven hundred five thousand, eighty-three".

Divisors: 1 3 7 21 29 49 87 147 203 343 609 1029 1163 1421 3489 4263 8141 9947 24423 29841 33727 56987 101181 170961 236089 398909 708267 1196727 1652623 4957869 11568361 34705083