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34713273 = 373153323
BaseRepresentation
bin1000010001101…
…0111010111001
32102022121122210
42010122322321
532341311043
63240005333
7601025610
oct204327271
972277583
1034713273
111865a661
12b760849
1372653ca
144878877
1530aa633
hex211aeb9

34713273 has 16 divisors (see below), whose sum is σ = 54603776. Its totient is φ = 19195920.

The previous prime is 34713271. The next prime is 34713277. The reversal of 34713273 is 37231743.

34713273 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 34713273 - 21 = 34713271 is a prime.

It is a super-2 number, since 2×347132732 = 2410022644745058, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34713273.

It is not an unprimeable number, because it can be changed into a prime (34713271) 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 15 ways as a sum of consecutive naturals, for example, 26011 + ... + 27312.

It is an arithmetic number, because the mean of its divisors is an integer number (3412736).

Almost surely, 234713273 is an apocalyptic number.

It is an amenable number.

34713273 is a deficient number, since it is larger than the sum of its proper divisors (19890503).

34713273 is a wasteful number, since it uses less digits than its factorization.

34713273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53364.

The product of its digits is 10584, while the sum is 30.

The square root of 34713273 is about 5891.7970942659. The cubic root of 34713273 is about 326.2109396727.

The spelling of 34713273 in words is "thirty-four million, seven hundred thirteen thousand, two hundred seventy-three".

Divisors: 1 3 7 21 31 93 217 651 53323 159969 373261 1119783 1653013 4959039 11571091 34713273