Base | Representation |
---|---|
bin | 11000000101111… |
… | …010011001100000 |
3 | 1001011120122102100 |
4 | 120011322121200 |
5 | 1311433444404 |
6 | 104035250400 |
7 | 13005445464 |
oct | 3005723140 |
9 | 1034518370 |
10 | 404203104 |
11 | 198186858 |
12 | b3449a00 |
13 | 65983746 |
14 | 3b97a4a4 |
15 | 25743d39 |
hex | 1817a660 |
404203104 has 144 divisors (see below), whose sum is σ = 1210809600. Its totient is φ = 127657728.
The previous prime is 404203103. The next prime is 404203123. The reversal of 404203104 is 401302404.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (404203103) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920517 + ... + 920955.
It is an arithmetic number, because the mean of its divisors is an integer number (8408400).
Almost surely, 2404203104 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 404203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605404800).
404203104 is an abundant number, since it is smaller than the sum of its proper divisors (806606496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
404203104 is a wasteful number, since it uses less digits than its factorization.
404203104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 617 (or 606 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 404203104 is about 20104.8030082366. The cubic root of 404203104 is about 739.3780408272.
Adding to 404203104 its reverse (401302404), we get a palindrome (805505508).
The spelling of 404203104 in words is "four hundred four million, two hundred three thousand, one hundred four".
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