Base | Representation |
---|---|
bin | 1000001001110100000000 |
3 | 11000120212220 |
4 | 20021310000 |
5 | 1021343334 |
6 | 113451040 |
7 | 24111216 |
oct | 10116400 |
9 | 4016786 |
10 | 2137344 |
11 | 122a900 |
12 | 870a80 |
13 | 59ab01 |
14 | 3d8cb6 |
15 | 2c3449 |
hex | 209d00 |
2137344 has 108 divisors (see below), whose sum is σ = 6524448. Its totient is φ = 619520.
The previous prime is 2137339. The next prime is 2137351. The reversal of 2137344 is 4437312.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92917 + ... + 92939.
22137344 is an apocalyptic number.
2137344 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 2137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262224).
2137344 is an abundant number, since it is smaller than the sum of its proper divisors (4387104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2137344 is a wasteful number, since it uses less digits than its factorization.
2137344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 64 (or 39 counting only the distinct ones).
The product of its digits is 2016, while the sum is 24.
The square root of 2137344 is about 1461.9657998736. The cubic root of 2137344 is about 128.8125394476.
Subtracting 2137344 from its reverse (4437312), we obtain a cube (2299968 = 1323).
It can be divided in two parts, 213 and 7344, that added together give a palindrome (7557).
The spelling of 2137344 in words is "two million, one hundred thirty-seven thousand, three hundred forty-four".
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