Base | Representation |
---|---|
bin | 11001010001110… |
… | …011010110100000 |
3 | 1002120000100222010 |
4 | 121101303112200 |
5 | 1332032102214 |
6 | 110025512520 |
7 | 13336523640 |
oct | 3121632640 |
9 | 1076010863 |
10 | 424097184 |
11 | 1a8434545 |
12 | ba042740 |
13 | 69b2a8a4 |
14 | 40478520 |
15 | 27373659 |
hex | 194735a0 |
424097184 has 144 divisors (see below), whose sum is σ = 1331128512. Its totient is φ = 115805184.
The previous prime is 424097123. The next prime is 424097221. The reversal of 424097184 is 481790424.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 354892 + ... + 356084.
It is an arithmetic number, because the mean of its divisors is an integer number (9243948).
Almost surely, 2424097184 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 424097184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665564256).
424097184 is an abundant number, since it is smaller than the sum of its proper divisors (907031328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424097184 is a wasteful number, since it uses less digits than its factorization.
424097184 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1259 (or 1228 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 39.
The square root of 424097184 is about 20593.6199828976. The cubic root of 424097184 is about 751.3145443957.
The spelling of 424097184 in words is "four hundred twenty-four million, ninety-seven thousand, one hundred eighty-four".
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