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34122673 = 132819341
BaseRepresentation
bin1000001000101…
…0101110110001
32101012121111201
42002022232301
532213411143
63215211201
7563016004
oct202125661
971177451
1034122673
1118296962
12b516b01
1370b9640
14476353b
152ee064d
hex208abb1

34122673 has 8 divisors (see below), whose sum is σ = 36882216. Its totient is φ = 31382400.

The previous prime is 34122667. The next prime is 34122679. The reversal of 34122673 is 37622143.

It is an interprime number because it is at equal distance from previous prime (34122667) and next prime (34122679).

It can be written as a sum of positive squares in 4 ways, for example, as 1140624 + 32982049 = 1068^2 + 5743^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34122673 - 29 = 34122161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34122679) by changing a digit.

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, 1018 + ... + 8323.

It is an arithmetic number, because the mean of its divisors is an integer number (4610277).

Almost surely, 234122673 is an apocalyptic number.

It is an amenable number.

34122673 is a deficient number, since it is larger than the sum of its proper divisors (2759543).

34122673 is a wasteful number, since it uses less digits than its factorization.

34122673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9635.

The product of its digits is 6048, while the sum is 28.

The square root of 34122673 is about 5841.4615465652. The cubic root of 34122673 is about 324.3503329661.

The spelling of 34122673 in words is "thirty-four million, one hundred twenty-two thousand, six hundred seventy-three".

Divisors: 1 13 281 3653 9341 121433 2624821 34122673