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11344320 = 2633513101
BaseRepresentation
bin101011010001…
…100111000000
3210100100111000
4223101213000
510401004240
61043052000
7165265551
oct53214700
923310430
1011344320
116449179
123971000
132472720
141714328
15ee1430
hexad19c0

11344320 has 224 divisors, whose sum is σ = 43525440. Its totient is φ = 2764800.

The previous prime is 11344301. The next prime is 11344339. The reversal of 11344320 is 2344311.

11344320 is a `hidden beast` number, since 1 + 1 + 344 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (11344301) and next prime (11344339).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11344293 and 11344302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112270 + ... + 112370.

It is an arithmetic number, because the mean of its divisors is an integer number (194310).

Almost surely, 211344320 is an apocalyptic number.

11344320 is a gapful number since it is divisible by the number (10) 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 11344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762720).

11344320 is an abundant number, since it is smaller than the sum of its proper divisors (32181120).

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

11344320 is a wasteful number, since it uses less digits than its factorization.

11344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 11344320 is about 3368.1330140005. The cubic root of 11344320 is about 224.6946970323.

Adding to 11344320 its reverse (2344311), we get a palindrome (13688631).

Subtracting from 11344320 its reverse (2344311), we obtain a palindrome (9000009).

It can be divided in two parts, 11344 and 320, that added together give a square (11664 = 1082).

The spelling of 11344320 in words is "eleven million, three hundred forty-four thousand, three hundred twenty".