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3000144 = 24378929
BaseRepresentation
bin1011011100011101010000
312122102102110
423130131100
51232001034
6144145320
734333530
oct13343520
95572373
103000144
11176a064
121008240
13810744
145814c0
153e3de9
hex2dc750

3000144 has 40 divisors (see below), whose sum is σ = 8858560. Its totient is φ = 857088.

The previous prime is 3000133. The next prime is 3000161. The reversal of 3000144 is 4410003.

3000144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 7 ways as a sum of consecutive naturals, for example, 4129 + ... + 4800.

It is an arithmetic number, because the mean of its divisors is an integer number (221464).

Almost surely, 23000144 is an apocalyptic number.

It is an amenable number.

3000144 is an abundant number, since it is smaller than the sum of its proper divisors (5858416).

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

3000144 is a wasteful number, since it uses less digits than its factorization.

3000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8947 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3000144 is about 1732.0923762894. The cubic root of 3000144 is about 144.2272645931.

Adding to 3000144 its reverse (4410003), we get a palindrome (7410147).

The spelling of 3000144 in words is "three million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 8929 17858 26787 35716 53574 62503 71432 107148 125006 142864 187509 214296 250012 375018 428592 500024 750036 1000048 1500072 3000144