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11440368 = 2432531499
BaseRepresentation
bin101011101001…
…000011110000
3210112020020100
4223221003300
510412042433
61045112400
7166145562
oct53510360
923466210
1011440368
116504355
1239b8700
1324a7364
14173b332
15100eb13
hexae90f0

11440368 has 60 divisors (see below), whose sum is σ = 32643000. Its totient is φ = 3739008.

The previous prime is 11440357. The next prime is 11440391. The reversal of 11440368 is 86304411.

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 11 ways as a sum of consecutive naturals, for example, 6883 + ... + 8381.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 211440368 is an apocalyptic number.

11440368 is a gapful number since it is divisible by the number (18) 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 11440368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321500).

11440368 is an abundant number, since it is smaller than the sum of its proper divisors (21202632).

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

11440368 is a wasteful number, since it uses less digits than its factorization.

11440368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1557 counting only the distinct ones).

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

The square root of 11440368 is about 3382.3613053605. The cubic root of 11440368 is about 225.3270503093.

Adding to 11440368 its reverse (86304411), we get a palindrome (97744779).

The spelling of 11440368 in words is "eleven million, four hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1499 1908 2544 2998 3816 4497 5996 7632 8994 11992 13491 17988 23984 26982 35976 53964 71952 79447 107928 158894 215856 238341 317788 476682 635576 715023 953364 1271152 1430046 1906728 2860092 3813456 5720184 11440368