Base | Representation |
---|---|
bin | 10011110110000… |
… | …000000101101000 |
3 | 212012110020211101 |
4 | 103312000011220 |
5 | 1140212020430 |
6 | 53011411144 |
7 | 11151541456 |
oct | 2366000550 |
9 | 765406741 |
10 | 332923240 |
11 | 160a21181 |
12 | 935b3ab4 |
13 | 53c87500 |
14 | 323039d6 |
15 | 1e363dca |
hex | 13d80168 |
332923240 has 96 divisors (see below), whose sum is σ = 859141080. Its totient is φ = 115654656.
The previous prime is 332923211. The next prime is 332923247. The reversal of 332923240 is 42329233.
It can be written as a sum of positive squares in 12 ways, for example, as 6687396 + 326235844 = 2586^2 + 18062^2 .
It is a super-2 number, since 2×3329232402 = 221675767464195200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 332923199 and 332923208.
It is not an unprimeable number, because it can be changed into a prime (332923247) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113472 + ... + 116368.
Almost surely, 2332923240 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 332923240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429570540).
332923240 is an abundant number, since it is smaller than the sum of its proper divisors (526217840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332923240 is a wasteful number, since it uses less digits than its factorization.
332923240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2951 (or 2934 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 28.
The square root of 332923240 is about 18246.1842586334. The cubic root of 332923240 is about 693.0768148276.
It can be divided in two parts, 3329 and 23240, that added together give a square (26569 = 1632).
The spelling of 332923240 in words is "three hundred thirty-two million, nine hundred twenty-three thousand, two hundred forty".
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