Base | Representation |
---|---|
bin | 10100000001000… |
… | …100001111100000 |
3 | 212101220121201000 |
4 | 110001010033200 |
5 | 1141432330330 |
6 | 53153512000 |
7 | 11215312152 |
oct | 2401041740 |
9 | 771817630 |
10 | 335823840 |
11 | 162622470 |
12 | 94572600 |
13 | 54761841 |
14 | 3285aad2 |
15 | 1e738560 |
hex | 140443e0 |
335823840 has 384 divisors, whose sum is σ = 1323786240. Its totient is φ = 78796800.
The previous prime is 335823821. The next prime is 335823863. The reversal of 335823840 is 48328533.
335823840 is a `hidden beast` number, since 3 + 3 + 582 + 38 + 40 = 666.
335823840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×3358238402 = 225555303024691200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 335823795 and 335823804.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1758145 + ... + 1758335.
It is an arithmetic number, because the mean of its divisors is an integer number (3447360).
Almost surely, 2335823840 is an apocalyptic number.
335823840 is a gapful number since it is divisible by the number (30) 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 335823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661893120).
335823840 is an abundant number, since it is smaller than the sum of its proper divisors (987962400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
335823840 is a wasteful number, since it uses less digits than its factorization.
335823840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 263 (or 249 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 335823840 is about 18325.4969918963. The cubic root of 335823840 is about 695.0838123308.
The spelling of 335823840 in words is "three hundred thirty-five million, eight hundred twenty-three thousand, eight hundred forty".
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