Base | Representation |
---|---|
bin | 1010011000111000000000 |
3 | 12010100201000 |
4 | 22120320000 |
5 | 1144121303 |
6 | 134212000 |
7 | 32101506 |
oct | 12307000 |
9 | 5110630 |
10 | 2723328 |
11 | 15a0093 |
12 | ab4000 |
13 | 74474a |
14 | 50c676 |
15 | 38bda3 |
hex | 298e00 |
2723328 has 80 divisors (see below), whose sum is σ = 8102160. Its totient is φ = 903168.
The previous prime is 2723323. The next prime is 2723333. The reversal of 2723328 is 8233272.
It is an interprime number because it is at equal distance from previous prime (2723323) and next prime (2723333).
It is a Harshad number since it is a multiple of its sum of digits (27).
Its product of digits (4032) is a multiple of the sum of its prime factors (224).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2723323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13726 + ... + 13922.
It is an arithmetic number, because the mean of its divisors is an integer number (101277).
22723328 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 2723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051080).
2723328 is an abundant number, since it is smaller than the sum of its proper divisors (5378832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2723328 is an equidigital number, since it uses as much as digits as its factorization.
2723328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 224 (or 202 counting only the distinct ones).
The product of its digits is 4032, while the sum is 27.
The square root of 2723328 is about 1650.2508900164. The cubic root of 2723328 is about 139.6475488199.
It can be divided in two parts, 27233 and 28, that added together give a triangular number (27261 = T233).
The spelling of 2723328 in words is "two million, seven hundred twenty-three thousand, three hundred twenty-eight".
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