Base | Representation |
---|---|
bin | 11110100001110001100 |
3 | 1212211012100 |
4 | 3310032030 |
5 | 224002312 |
6 | 33235100 |
7 | 11334264 |
oct | 3641614 |
9 | 1784170 |
10 | 1000332 |
11 | 623623 |
12 | 402a90 |
13 | 290418 |
14 | 1c07a4 |
15 | 14b5dc |
hex | f438c |
1000332 has 36 divisors (see below), whose sum is σ = 2600416. Its totient is φ = 324000.
The previous prime is 1000313. The next prime is 1000333. The reversal of 1000332 is 2330001.
It is a happy number.
1000332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×10003322 = 2001328220448, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1000333) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957 + ... + 1707.
21000332 is an apocalyptic number.
1000332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300208).
1000332 is an abundant number, since it is smaller than the sum of its proper divisors (1600084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000332 is a wasteful number, since it uses less digits than its factorization.
1000332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 798 (or 793 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 1000332 is about 1000.1659862243. The cubic root of 1000332 is about 100.0110654422.
Adding to 1000332 its reverse (2330001), we get a palindrome (3330333).
The spelling of 1000332 in words is "one million, three hundred thirty-two", and thus it is an aban number.
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