Base | Representation |
---|---|
bin | 10100000000011… |
… | …110011011101000 |
3 | 212101121202021000 |
4 | 110000132123220 |
5 | 1141412401333 |
6 | 53150315000 |
7 | 11214065505 |
oct | 2400363350 |
9 | 771552230 |
10 | 335668968 |
11 | 162527078 |
12 | 944b8a60 |
13 | 547091bb |
14 | 3281a4ac |
15 | 1e707713 |
hex | 1401e6e8 |
335668968 has 128 divisors (see below), whose sum is σ = 988848000. Its totient is φ = 105315840.
The previous prime is 335668937. The next prime is 335668973. The reversal of 335668968 is 869866533.
335668968 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 2×3356689682 = 225347312156370048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256171 + ... + 257477.
It is an arithmetic number, because the mean of its divisors is an integer number (7725375).
Almost surely, 2335668968 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 335668968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494424000).
335668968 is an abundant number, since it is smaller than the sum of its proper divisors (653179032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
335668968 is a wasteful number, since it uses less digits than its factorization.
335668968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1392 (or 1382 counting only the distinct ones).
The product of its digits is 5598720, while the sum is 54.
The square root of 335668968 is about 18321.2709166149. The cubic root of 335668968 is about 694.9769452180.
The spelling of 335668968 in words is "three hundred thirty-five million, six hundred sixty-eight thousand, nine hundred sixty-eight".
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