Base | Representation |
---|---|
bin | 10011111101111… |
… | …100011010100000 |
3 | 212100101000221100 |
4 | 103331330122200 |
5 | 1141230132334 |
6 | 53124154400 |
7 | 11205332652 |
oct | 2375743240 |
9 | 770330840 |
10 | 335005344 |
11 | 162113523 |
12 | 94238a00 |
13 | 5453611b |
14 | 326c66d2 |
15 | 1e625c99 |
hex | 13f7c6a0 |
335005344 has 144 divisors (see below), whose sum is σ = 993807360. Its totient is φ = 106928640.
The previous prime is 335005339. The next prime is 335005357. The reversal of 335005344 is 443500533.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×3350053442 = 224457161017116672, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401577 + ... + 1401815.
It is an arithmetic number, because the mean of its divisors is an integer number (6901440).
Almost surely, 2335005344 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 335005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496903680).
335005344 is an abundant number, since it is smaller than the sum of its proper divisors (658802016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
335005344 is a wasteful number, since it uses less digits than its factorization.
335005344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 443 (or 432 counting only the distinct ones).
The product of its (nonzero) digits is 10800, while the sum is 27.
The square root of 335005344 is about 18303.1512040960. The cubic root of 335005344 is about 694.5186488064.
Adding to 335005344 its reverse (443500533), we get a palindrome (778505877).
The spelling of 335005344 in words is "three hundred thirty-five million, five thousand, three hundred forty-four".
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