Base | Representation |
---|---|
bin | 10011110101100… |
… | …110111000000000 |
3 | 212012021000011111 |
4 | 103311212320000 |
5 | 1140200214333 |
6 | 53005253104 |
7 | 11150631415 |
oct | 2365467000 |
9 | 765230144 |
10 | 332819968 |
11 | 160960628 |
12 | 93564194 |
13 | 53c4c4c0 |
14 | 322b810c |
15 | 1e3434cd |
hex | 13d66e00 |
332819968 has 80 divisors (see below), whose sum is σ = 739702656. Its totient is φ = 148561920.
The previous prime is 332819953. The next prime is 332819989. The reversal of 332819968 is 869918233.
It is a super-2 number, since 2×3328199682 = 221538262199042048, which contains 22 as substring.
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 205530 + ... + 207142.
Almost surely, 2332819968 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 332819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369851328).
332819968 is an abundant number, since it is smaller than the sum of its proper divisors (406882688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332819968 is a wasteful number, since it uses less digits than its factorization.
332819968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1675 (or 1659 counting only the distinct ones).
The product of its digits is 559872, while the sum is 49.
The square root of 332819968 is about 18243.3540775812. The cubic root of 332819968 is about 693.0051438212.
The spelling of 332819968 in words is "three hundred thirty-two million, eight hundred nineteen thousand, nine hundred sixty-eight".
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