Base | Representation |
---|---|
bin | 10011111110011… |
… | …110000010000000 |
3 | 212100122000211012 |
4 | 103332132002000 |
5 | 1141244034130 |
6 | 53131140052 |
7 | 11206445261 |
oct | 2376360200 |
9 | 770560735 |
10 | 335143040 |
11 | 1621a7a21 |
12 | 942a4628 |
13 | 545839bb |
14 | 32720968 |
15 | 1e651995 |
hex | 13f9e080 |
335143040 has 64 divisors (see below), whose sum is σ = 822913560. Its totient is φ = 130424832.
The previous prime is 335142991. The next prime is 335143079. The reversal of 335143040 is 40341533.
335143040 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 4 ways, for example, as 306670144 + 28472896 = 17512^2 + 5336^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×3351430402 = 224641714520883200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 335142997 and 335143015.
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 7 ways as a sum of consecutive naturals, for example, 16604 + ... + 30756.
Almost surely, 2335143040 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 335143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411456780).
335143040 is an abundant number, since it is smaller than the sum of its proper divisors (487770520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
335143040 is a wasteful number, since it uses less digits than its factorization.
335143040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14209 (or 14197 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 23.
The square root of 335143040 is about 18306.9123557196. The cubic root of 335143040 is about 694.6137909110.
Adding to 335143040 its reverse (40341533), we get a palindrome (375484573).
The spelling of 335143040 in words is "three hundred thirty-five million, one hundred forty-three thousand, forty".
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