Base | Representation |
---|---|
bin | 101000110010001… |
… | …011111000000000 |
3 | 1202200112012222011 |
4 | 220302023320000 |
5 | 2400131310410 |
6 | 151521422304 |
7 | 22645660603 |
oct | 5062137000 |
9 | 1680465864 |
10 | 684244480 |
11 | 321269007 |
12 | 17119a994 |
13 | ab9b3bba |
14 | 66c3633a |
15 | 4010e18a |
hex | 28c8be00 |
684244480 has 80 divisors (see below), whose sum is σ = 1712060064. Its totient is φ = 261775360.
The previous prime is 684244459. The next prime is 684244487. The reversal of 684244480 is 84442486.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (684244487) 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, 53070 + ... + 64690.
Almost surely, 2684244480 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 684244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856030032).
684244480 is an abundant number, since it is smaller than the sum of its proper divisors (1027815584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
684244480 is a wasteful number, since it uses less digits than its factorization.
684244480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11667 (or 11651 counting only the distinct ones).
The product of its (nonzero) digits is 196608, while the sum is 40.
The square root of 684244480 is about 26158.0672068867. The cubic root of 684244480 is about 881.1917736960.
The spelling of 684244480 in words is "six hundred eighty-four million, two hundred forty-four thousand, four hundred eighty".
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