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11340224 = 267171489
BaseRepresentation
bin101011010000…
…100111000000
3210100010212022
4223100213000
510400341344
61043021012
7165250610
oct53204700
923303768
1011340224
116446095
12396a768
1324708bc
141712a40
15ee00ee
hexad09c0

11340224 has 56 divisors (see below), whose sum is σ = 27249120. Its totient is φ = 4571136.

The previous prime is 11340163. The next prime is 11340227. The reversal of 11340224 is 42204311.

11340224 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340227) 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, 6872 + ... + 8360.

Almost surely, 211340224 is an apocalyptic number.

11340224 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 11340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13624560).

11340224 is an abundant number, since it is smaller than the sum of its proper divisors (15908896).

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

11340224 is a wasteful number, since it uses less digits than its factorization.

11340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 11340224 is about 3367.5249071091. The cubic root of 11340224 is about 224.6676508902.

Adding to 11340224 its reverse (42204311), we get a palindrome (53544535).

The spelling of 11340224 in words is "eleven million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1489 1904 2978 3808 5956 7616 10423 11912 20846 23824 25313 41692 47648 50626 83384 95296 101252 166768 177191 202504 333536 354382 405008 667072 708764 810016 1417528 1620032 2835056 5670112 11340224