Base | Representation |
---|---|
bin | 10011110010011… |
… | …111101111101010 |
3 | 212010201120022200 |
4 | 103302133233222 |
5 | 1134443114310 |
6 | 52540001030 |
7 | 11140663440 |
oct | 2362375752 |
9 | 763646280 |
10 | 332004330 |
11 | 160453849 |
12 | 93230176 |
13 | 53a25188 |
14 | 32144b90 |
15 | 1e2319c0 |
hex | 13c9fbea |
332004330 has 96 divisors (see below), whose sum is σ = 1013261184. Its totient is φ = 73830528.
The previous prime is 332004319. The next prime is 332004331. The reversal of 332004330 is 33400233.
332004330 is a `hidden beast` number, since 33 + 200 + 433 + 0 = 666.
It is a super-2 number, since 2×3320043302 = 220453750277497800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (332004331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16189 + ... + 30431.
It is an arithmetic number, because the mean of its divisors is an integer number (10554804).
Almost surely, 2332004330 is an apocalyptic number.
332004330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 332004330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506630592).
332004330 is an abundant number, since it is smaller than the sum of its proper divisors (681256854).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332004330 is a wasteful number, since it uses less digits than its factorization.
332004330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14300 (or 14297 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 18.
The square root of 332004330 is about 18220.9859777126. The cubic root of 332004330 is about 692.4385675367.
Adding to 332004330 its reverse (33400233), we get a palindrome (365404563).
The spelling of 332004330 in words is "three hundred thirty-two million, four thousand, three hundred thirty".
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