Base | Representation |
---|---|
bin | 10011111111011… |
… | …101100110001000 |
3 | 212101010020222011 |
4 | 103333131212020 |
5 | 1141330402100 |
6 | 53140505304 |
7 | 11211611323 |
oct | 2377354610 |
9 | 771106864 |
10 | 335403400 |
11 | 1623655a2 |
12 | 943ab234 |
13 | 54645367 |
14 | 3278b7ba |
15 | 1e6a3bba |
hex | 13fdd988 |
335403400 has 48 divisors (see below), whose sum is σ = 785569140. Its totient is φ = 133171200.
The previous prime is 335403347. The next prime is 335403401. The reversal of 335403400 is 4304533.
335403400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 94595076 + 240808324 = 9726^2 + 15518^2 .
It is a super-2 number, since 2×3354034002 = 224990881463120000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (335403401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21280 + ... + 33520.
Almost surely, 2335403400 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 335403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392784570).
335403400 is an abundant number, since it is smaller than the sum of its proper divisors (450165740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
335403400 is a wasteful number, since it uses less digits than its factorization.
335403400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12394 (or 12385 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 22.
The square root of 335403400 is about 18314.0219504073. The cubic root of 335403400 is about 694.7936174462.
Adding to 335403400 its reverse (4304533), we get a palindrome (339707933).
The spelling of 335403400 in words is "three hundred thirty-five million, four hundred three thousand, four hundred".
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