Base | Representation |
---|---|
bin | 111100100011111… |
… | …1001101010101000 |
3 | 12020121210002211020 |
4 | 1321013321222220 |
5 | 13130210124334 |
6 | 533351132440 |
7 | 101233454421 |
oct | 17107715250 |
9 | 5217702736 |
10 | 2032114344 |
11 | 953091647 |
12 | 488674120 |
13 | 26500c830 |
14 | 153c58648 |
15 | bd607e49 |
hex | 791f9aa8 |
2032114344 has 128 divisors (see below), whose sum is σ = 5624035200. Its totient is φ = 608025600.
The previous prime is 2032114327. The next prime is 2032114349. The reversal of 2032114344 is 4434112302.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (2032114349) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858662 + ... + 1859754.
It is an arithmetic number, because the mean of its divisors is an integer number (43937775).
Almost surely, 22032114344 is an apocalyptic number.
2032114344 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 2032114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812017600).
2032114344 is an abundant number, since it is smaller than the sum of its proper divisors (3591920856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2032114344 is a wasteful number, since it uses less digits than its factorization.
2032114344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1275 (or 1271 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 2032114344 is about 45078.9789591557. The cubic root of 2032114344 is about 1266.6288638149.
Adding to 2032114344 its reverse (4434112302), we get a palindrome (6466226646).
The spelling of 2032114344 in words is "two billion, thirty-two million, one hundred fourteen thousand, three hundred forty-four".
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