Search a number
-
+
2944008 = 2332311319
BaseRepresentation
bin1011001110110000001000
312112120102100
423032300020
51223202013
6143033400
734011054
oct13166010
95476370
102944008
111730971
12b9b860
137c1022
14568c64
153d2473
hex2cec08

2944008 has 48 divisors (see below), whose sum is σ = 8236800. Its totient is φ = 948960.

The previous prime is 2944003. The next prime is 2944021. The reversal of 2944008 is 8004492.

It is not an unprimeable number, because it can be changed into a prime (2944003) 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, 1573 + ... + 2891.

It is an arithmetic number, because the mean of its divisors is an integer number (171600).

22944008 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 2944008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118400).

2944008 is an abundant number, since it is smaller than the sum of its proper divisors (5292792).

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

2944008 is a wasteful number, since it uses less digits than its factorization.

2944008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2944008 is about 1715.8111784226. The cubic root of 2944008 is about 143.3220446611.

The spelling of 2944008 in words is "two million, nine hundred forty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1319 2232 2638 3957 5276 7914 10552 11871 15828 23742 31656 40889 47484 81778 94968 122667 163556 245334 327112 368001 490668 736002 981336 1472004 2944008