Base | Representation |
---|---|
bin | 101000001010100… |
… | …000011010000000 |
3 | 1201221221202120100 |
4 | 220022200122000 |
5 | 2340000432231 |
6 | 150510442400 |
7 | 22461366213 |
oct | 5012403200 |
9 | 1657852510 |
10 | 673842816 |
11 | 316404099 |
12 | 169803400 |
13 | a97b157a |
14 | 656c977a |
15 | 3e2571e6 |
hex | 282a0680 |
673842816 has 96 divisors (see below), whose sum is σ = 1991585700. Its totient is φ = 218529792.
The previous prime is 673842803. The next prime is 673842839. The reversal of 673842816 is 618248376.
It can be written as a sum of positive squares in 2 ways, for example, as 670602816 + 3240000 = 25896^2 + 1800^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34720 + ... + 50528.
Almost surely, 2673842816 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 673842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995792850).
673842816 is an abundant number, since it is smaller than the sum of its proper divisors (1317742884).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
673842816 is a wasteful number, since it uses less digits than its factorization.
673842816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15866 (or 15851 counting only the distinct ones).
The product of its digits is 387072, while the sum is 45.
The square root of 673842816 is about 25958.4825442475. The cubic root of 673842816 is about 876.7037567297.
The spelling of 673842816 in words is "six hundred seventy-three million, eight hundred forty-two thousand, eight hundred sixteen".
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