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2744128 = 2653809
BaseRepresentation
bin1010011101111101000000
312011102020101
422131331000
51200303003
6134452144
732216242
oct12357500
95142211
102744128
111604782
12b04054
1375105a
14516092
1539311d
hex29df40

2744128 has 28 divisors (see below), whose sum is σ = 5554980. Its totient is φ = 1344512.

The previous prime is 2744117. The next prime is 2744129. The reversal of 2744128 is 8214472.

2744128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 529984 = 1488^2 + 728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2744096 and 2744105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2744129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2988 + ... + 3796.

22744128 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 2744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777490).

2744128 is an abundant number, since it is smaller than the sum of its proper divisors (2810852).

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

2744128 is an equidigital number, since it uses as much as digits as its factorization.

2744128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

The square root of 2744128 is about 1656.5409744404. The cubic root of 2744128 is about 140.0021768369.

The spelling of 2744128 in words is "two million, seven hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 809 848 1618 1696 3236 3392 6472 12944 25888 42877 51776 85754 171508 343016 686032 1372064 2744128