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11344368 = 2437191777
BaseRepresentation
bin101011010001…
…100111110000
3210100100112210
4223101213300
510401004433
61043052120
7165265650
oct53214760
923310483
1011344368
116449212
123971040
132472759
141714360
15ee1463
hexad19f0

11344368 has 80 divisors (see below), whose sum is σ = 35275520. Its totient is φ = 3068928.

The previous prime is 11344339. The next prime is 11344369. The reversal of 11344368 is 86344311.

11344368 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

11344368 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5496 + ... + 7272.

It is an arithmetic number, because the mean of its divisors is an integer number (440944).

Almost surely, 211344368 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 11344368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17637760).

11344368 is an abundant number, since it is smaller than the sum of its proper divisors (23931152).

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

11344368 is a wasteful number, since it uses less digits than its factorization.

11344368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1808 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 11344368 is about 3368.1401396023. The cubic root of 11344368 is about 224.6950139406.

Adding to 11344368 its reverse (86344311), we get a palindrome (97688679).

The spelling of 11344368 in words is "eleven million, three hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 1777 2128 3192 3554 5331 6384 7108 10662 12439 14216 21324 24878 28432 33763 37317 42648 49756 67526 74634 85296 99512 101289 135052 149268 199024 202578 236341 270104 298536 405156 472682 540208 597072 709023 810312 945364 1418046 1620624 1890728 2836092 3781456 5672184 11344368