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2534144 = 2819521
BaseRepresentation
bin1001101010101100000000
311202202012012
421222230000
51122043034
6130152052
730353114
oct11525400
94682165
102534144
111480a38
12a22628
136a95c2
1449d744
15350cce
hex26ab00

2534144 has 36 divisors (see below), whose sum is σ = 5334840. Its totient is φ = 1198080.

The previous prime is 2534143. The next prime is 2534153. The reversal of 2534144 is 4414352.

Added to its reverse (4414352) it gives a square (6948496 = 26362).

2534144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2534143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4604 + ... + 5124.

It is an arithmetic number, because the mean of its divisors is an integer number (148190).

22534144 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 2534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667420).

2534144 is an abundant number, since it is smaller than the sum of its proper divisors (2800696).

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

2534144 is an equidigital number, since it uses as much as digits as its factorization.

2534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 2534144 is about 1591.8994943149. The cubic root of 2534144 is about 136.3359629231.

Adding to 2534144 its reverse (4414352), we get a palindrome (6948496).

The spelling of 2534144 in words is "two million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 521 608 1042 1216 2084 2432 4168 4864 8336 9899 16672 19798 33344 39596 66688 79192 133376 158384 316768 633536 1267072 2534144