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3042144 = 25337503
BaseRepresentation
bin1011100110101101100000
312201120001000
423212231200
51234322034
6145112000
734600140
oct13465540
95646030
103042144
111798676
121028600
138268b1
14592920
15401599
hex2e6b60

3042144 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 867456.

The previous prime is 3042107. The next prime is 3042157. The reversal of 3042144 is 4412403.

3042144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5797 + ... + 6299.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 23042144 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 3042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3042144 is an abundant number, since it is smaller than the sum of its proper divisors (7118496).

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

3042144 is a wasteful number, since it uses less digits than its factorization.

3042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3042144 is about 1744.1743032163. The cubic root of 3042144 is about 144.8971764085.

Adding to 3042144 its reverse (4412403), we get a palindrome (7454547).

The spelling of 3042144 in words is "three million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 503 504 672 756 864 1006 1008 1509 1512 2012 2016 3018 3024 3521 4024 4527 6036 6048 7042 8048 9054 10563 12072 13581 14084 16096 18108 21126 24144 27162 28168 31689 36216 42252 48288 54324 56336 63378 72432 84504 95067 108648 112672 126756 144864 169008 190134 217296 253512 338016 380268 434592 507024 760536 1014048 1521072 3042144