Base | Representation |
---|---|
bin | 11001010001011… |
… | …100011100100000 |
3 | 1002112211121021011 |
4 | 121101130130200 |
5 | 1332021101420 |
6 | 110023510304 |
7 | 13335653254 |
oct | 3121343440 |
9 | 1075747234 |
10 | 424003360 |
11 | 1a8380000 |
12 | b9bb8394 |
13 | 69ac6c81 |
14 | 40452264 |
15 | 2735595a |
hex | 1945c720 |
424003360 has 120 divisors (see below), whose sum is σ = 1107959580. Its totient is φ = 153331200.
The previous prime is 424003331. The next prime is 424003379. The reversal of 424003360 is 63300424.
It can be written as a sum of positive squares in 2 ways, for example, as 356303376 + 67699984 = 18876^2 + 8228^2 .
It is a Harshad number since it is a multiple of its sum of digits (22).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2342470 + ... + 2342650.
Almost surely, 2424003360 is an apocalyptic number.
424003360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 424003360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553979790).
424003360 is an abundant number, since it is smaller than the sum of its proper divisors (683956220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424003360 is an equidigital number, since it uses as much as digits as its factorization.
424003360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 240 (or 199 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 22.
The square root of 424003360 is about 20591.3418698248. The cubic root of 424003360 is about 751.2591352918.
Adding to 424003360 its reverse (63300424), we get a palindrome (487303784).
The spelling of 424003360 in words is "four hundred twenty-four million, three thousand, three hundred sixty".
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