Base | Representation |
---|---|
bin | 10011111010110… |
… | …011111000100000 |
3 | 212021211022020000 |
4 | 103322303320200 |
5 | 1141022341333 |
6 | 53054420000 |
7 | 11165342166 |
oct | 2372637040 |
9 | 767738200 |
10 | 334183968 |
11 | 1617023a8 |
12 | 93b01600 |
13 | 543092c1 |
14 | 32551236 |
15 | 1e512713 |
hex | 13eb3e20 |
334183968 has 120 divisors (see below), whose sum is σ = 1014773760. Its totient is φ = 107775360.
The previous prime is 334183933. The next prime is 334183973. The reversal of 334183968 is 869381433.
It is a super-2 number, since 2×3341839682 = 223357848936450048, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78273 + ... + 82431.
It is an arithmetic number, because the mean of its divisors is an integer number (8456448).
Almost surely, 2334183968 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 334183968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507386880).
334183968 is an abundant number, since it is smaller than the sum of its proper divisors (680589792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334183968 is a wasteful number, since it uses less digits than its factorization.
334183968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4212 (or 4195 counting only the distinct ones).
The product of its digits is 373248, while the sum is 45.
The square root of 334183968 is about 18280.6993301679. The cubic root of 334183968 is about 693.9505704953.
The spelling of 334183968 in words is "three hundred thirty-four million, one hundred eighty-three thousand, nine hundred sixty-eight".
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