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2144484 = 223271839
BaseRepresentation
bin1000001011100011100100
311000221200100
420023203210
51022110414
6113544100
724141066
oct10134344
94027610
102144484
111235201
12875030
135a1134
143db736
152c5609
hex20b8e4

2144484 has 36 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 703920.

The previous prime is 2144479. The next prime is 2144489. The reversal of 2144484 is 4844412.

It is a happy number.

2144484 is a `hidden beast` number, since 214 + 448 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2144479) and next prime (2144489).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2144489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2137 + ... + 2975.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

22144484 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 2144484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

2144484 is an abundant number, since it is smaller than the sum of its proper divisors (3359196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2144484 is a wasteful number, since it uses less digits than its factorization.

2144484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 915 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 2144484 is about 1464.4056814968. The cubic root of 2144484 is about 128.9558168500.

Adding to 2144484 its reverse (4844412), we get a palindrome (6988896).

It can be divided in two parts, 21444 and 84, that added together give a triangular number (21528 = T207).

The spelling of 2144484 in words is "two million, one hundred forty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 839 852 1278 1678 2517 2556 3356 5034 7551 10068 15102 30204 59569 119138 178707 238276 357414 536121 714828 1072242 2144484