Search a number
-
+
11481344 = 28743149
BaseRepresentation
bin101011110011…
…000100000000
3210121022102222
4223303010000
510414400334
61050030212
7166406210
oct53630400
923538388
1011481344
116532116
123a18368
1324bcbc4
14174c240
15101bd2e
hexaf3100

11481344 has 72 divisors (see below), whose sum is σ = 26980800. Its totient is φ = 4773888.

The previous prime is 11481343. The next prime is 11481383. The reversal of 11481344 is 44318411.

11481344 = 2322 + 2332 + ... + 3602.

It is not an unprimeable number, because it can be changed into a prime (11481343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76982 + ... + 77130.

Almost surely, 211481344 is an apocalyptic number.

11481344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490400).

11481344 is an abundant number, since it is smaller than the sum of its proper divisors (15499456).

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

11481344 is an equidigital number, since it uses as much as digits as its factorization.

11481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 11481344 is about 3388.4131979438. The cubic root of 11481344 is about 225.5957479540.

Adding to 11481344 its reverse (44318411), we get a palindrome (55799755).

The spelling of 11481344 in words is "eleven million, four hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 149 172 224 256 298 301 344 448 596 602 688 896 1043 1192 1204 1376 1792 2086 2384 2408 2752 4172 4768 4816 5504 6407 8344 9536 9632 11008 12814 16688 19072 19264 25628 33376 38144 38528 44849 51256 66752 77056 89698 102512 133504 179396 205024 267008 358792 410048 717584 820096 1435168 1640192 2870336 5740672 11481344