Base | Representation |
---|---|
bin | 1000001000010110010000 |
3 | 11000021122200 |
4 | 20020112100 |
5 | 1021200334 |
6 | 113403200 |
7 | 24054555 |
oct | 10102620 |
9 | 4007580 |
10 | 2131344 |
11 | 1226346 |
12 | 869500 |
13 | 598167 |
14 | 3d6a2c |
15 | 2c1799 |
hex | 208590 |
2131344 has 90 divisors (see below), whose sum is σ = 6448806. Its totient is φ = 656640.
The previous prime is 2131321. The next prime is 2131361. The reversal of 2131344 is 4431312.
It can be written as a sum of positive squares in only one way, i.e., 1299600 + 831744 = 1140^2 + 912^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51964 + ... + 52004.
22131344 is an apocalyptic number.
2131344 is a gapful number since it is divisible by the number (24) 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 2131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224403).
2131344 is an abundant number, since it is smaller than the sum of its proper divisors (4317462).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131344 is a wasteful number, since it uses less digits than its factorization.
2131344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 93 (or 65 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 2131344 is about 1459.9123261347. The cubic root of 2131344 is about 128.6918913321.
Adding to 2131344 its reverse (4431312), we get a palindrome (6562656).
Subtracting 2131344 from its reverse (4431312), we obtain a cube (2299968 = 1323).
The spelling of 2131344 in words is "two million, one hundred thirty-one thousand, three hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.073 sec. • engine limits •