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34542963 = 3371317827
BaseRepresentation
bin1000001111000…
…1010101110011
32101222222001000
42003301111303
532320333323
63232213043
7566416230
oct203612563
971888030
1034542963
1118553704
12b69a183
137205a30
144832787
153074e43
hex20f1573

34542963 has 64 divisors (see below), whose sum is σ = 66769920. Its totient is φ = 17127936.

The previous prime is 34542919. The next prime is 34543009. The reversal of 34542963 is 36924543.

34542963 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 34542963 - 26 = 34542899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34532963) 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 63 ways as a sum of consecutive naturals, for example, 41356 + ... + 42182.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 234542963 is an apocalyptic number.

34542963 is a deficient number, since it is larger than the sum of its proper divisors (32226957).

34542963 is a wasteful number, since it uses less digits than its factorization.

34542963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 867 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 34542963 is about 5877.3261777785. The cubic root of 34542963 is about 325.6765802712.

The spelling of 34542963 in words is "thirty-four million, five hundred forty-two thousand, nine hundred sixty-three".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 91 117 119 153 189 221 273 351 357 459 663 819 827 1071 1547 1989 2457 2481 3213 4641 5789 5967 7443 10751 13923 14059 17367 22329 32253 41769 42177 52101 75257 96759 98413 126531 156303 182767 225771 290277 295239 379593 548301 677313 885717 1279369 1644903 2031939 2657151 3838107 4934709 11514321 34542963