Base | Representation |
---|---|
bin | 10011110100101… |
… | …100100010101000 |
3 | 212011210212102000 |
4 | 103310230202220 |
5 | 1140120043112 |
6 | 53000211000 |
7 | 11145615000 |
oct | 2364544250 |
9 | 764725360 |
10 | 332581032 |
11 | 160808063 |
12 | 93469a60 |
13 | 53b97814 |
14 | 32255000 |
15 | 1e2e77dc |
hex | 13d2c8a8 |
332581032 has 192 divisors, whose sum is σ = 1093680000. Its totient is φ = 93604896.
The previous prime is 332581031. The next prime is 332581037. The reversal of 332581032 is 230185233.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
332581032 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 2×3325810322 = 221220285692370048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 332580987 and 332581005.
It is not an unprimeable number, because it can be changed into a prime (332581031) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 4963863 + ... + 4963929.
It is an arithmetic number, because the mean of its divisors is an integer number (5696250).
Almost surely, 2332581032 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 332581032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840000).
332581032 is an abundant number, since it is smaller than the sum of its proper divisors (761098968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332581032 is an equidigital number, since it uses as much as digits as its factorization.
332581032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170 (or 79 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 332581032 is about 18236.8043253197. The cubic root of 332581032 is about 692.8392648338.
The spelling of 332581032 in words is "three hundred thirty-two million, five hundred eighty-one thousand, thirty-two".
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