Base | Representation |
---|---|
bin | 1000001001100… |
… | …0101101001000 |
3 | 2101022112000200 |
4 | 2002120231020 |
5 | 32222224122 |
6 | 3220332200 |
7 | 563344614 |
oct | 202305510 |
9 | 71275020 |
10 | 34179912 |
11 | 18325968 |
12 | b544060 |
13 | 7109700 |
14 | 477a344 |
15 | 30025ac |
hex | 2098b48 |
34179912 has 108 divisors (see below), whose sum is σ = 102166155. Its totient is φ = 10318464.
The previous prime is 34179889. The next prime is 34179919. The reversal of 34179912 is 21997143.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 11655396 + 22524516 = 3414^2 + 4746^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=4134.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (34179919) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 644878 + ... + 644930.
Almost surely, 234179912 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34179912
34179912 is an abundant number, since it is smaller than the sum of its proper divisors (67986243).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34179912 is a wasteful number, since it uses less digits than its factorization.
34179912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 71 counting only the distinct ones).
The product of its digits is 13608, while the sum is 36.
The square root of 34179912 is about 5846.3588668504. The cubic root of 34179912 is about 324.5315918951.
The spelling of 34179912 in words is "thirty-four million, one hundred seventy-nine thousand, nine hundred twelve".
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