Base | Representation |
---|---|
bin | 10011111111100… |
… | …100001100000000 |
3 | 212101011122000011 |
4 | 103333210030000 |
5 | 1141332233100 |
6 | 53141234304 |
7 | 11212053124 |
oct | 2377441400 |
9 | 771148004 |
10 | 335430400 |
11 | 162383908 |
12 | 94402994 |
13 | 54654736 |
14 | 32797584 |
15 | 1e6abbba |
hex | 13fe4300 |
335430400 has 108 divisors (see below), whose sum is σ = 879365592. Its totient is φ = 126238720.
The previous prime is 335430397. The next prime is 335430437. The reversal of 335430400 is 4034533.
It is a super-2 number, since 2×3354304002 = 225027106488320000, which contains 22 as substring.
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 11 ways as a sum of consecutive naturals, for example, 107259 + ... + 110341.
It is an arithmetic number, because the mean of its divisors is an integer number (8142274).
Almost surely, 2335430400 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 335430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439682796).
335430400 is an abundant number, since it is smaller than the sum of its proper divisors (543935192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
335430400 is a wasteful number, since it uses less digits than its factorization.
335430400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3126 (or 3107 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 22.
The square root of 335430400 is about 18314.7590756745. The cubic root of 335430400 is about 694.8122605928.
Adding to 335430400 its reverse (4034533), we get a palindrome (339464933).
The spelling of 335430400 in words is "three hundred thirty-five million, four hundred thirty thousand, four hundred".
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