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2009344 = 2847167
BaseRepresentation
bin111101010100100000000
310210002022011
413222210000
51003244334
6111022304
723036101
oct7524400
93702264
102009344
111152717
1280a994
1355477c
143a43a8
1529a564
hex1ea900

2009344 has 36 divisors (see below), whose sum is σ = 4120704. Its totient is φ = 977408.

The previous prime is 2009339. The next prime is 2009377. The reversal of 2009344 is 4439002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11949 + ... + 12115.

It is an arithmetic number, because the mean of its divisors is an integer number (114464).

22009344 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 2009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060352).

2009344 is an abundant number, since it is smaller than the sum of its proper divisors (2111360).

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

2009344 is an equidigital number, since it uses as much as digits as its factorization.

2009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2009344 is about 1417.5133156341. The cubic root of 2009344 is about 126.1880119180.

The spelling of 2009344 in words is "two million, nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 167 188 256 334 376 668 752 1336 1504 2672 3008 5344 6016 7849 10688 12032 15698 21376 31396 42752 62792 125584 251168 502336 1004672 2009344