Base | Representation |
---|---|
bin | 1001000101100111110000 |
3 | 11111000221002 |
4 | 21011213300 |
5 | 1102213240 |
6 | 123021132 |
7 | 26151353 |
oct | 11054760 |
9 | 4430832 |
10 | 2382320 |
11 | 1387966 |
12 | 96a7a8 |
13 | 655475 |
14 | 46029a |
15 | 320d15 |
hex | 2459f0 |
2382320 has 40 divisors (see below), whose sum is σ = 5614224. Its totient is φ = 940032.
The previous prime is 2382313. The next prime is 2382323. The reversal of 2382320 is 232832.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2382292 and 2382301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2382323) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7607 + ... + 7913.
22382320 is an apocalyptic number.
2382320 is a gapful number since it is divisible by the number (20) 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 2382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807112).
2382320 is an abundant number, since it is smaller than the sum of its proper divisors (3231904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2382320 is a wasteful number, since it uses less digits than its factorization.
2382320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 417 (or 411 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 2382320 is about 1543.4765952226. The cubic root of 2382320 is about 133.5570134331.
The spelling of 2382320 in words is "two million, three hundred eighty-two thousand, three hundred twenty".
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