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11343200 = 2552111289
BaseRepresentation
bin101011010001…
…010101100000
3210100021221112
4223101111200
510400440300
61043042452
7165262361
oct53212540
923307845
1011343200
116448350
123970428
13247206b
141713b68
15ee0e35
hexad1560

11343200 has 72 divisors (see below), whose sum is σ = 30232440. Its totient is φ = 4121600.

The previous prime is 11343193. The next prime is 11343203. The reversal of 11343200 is 234311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11343203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8156 + ... + 9444.

It is an arithmetic number, because the mean of its divisors is an integer number (419895).

Almost surely, 211343200 is an apocalyptic number.

11343200 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 11343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116220).

11343200 is an abundant number, since it is smaller than the sum of its proper divisors (18889240).

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

11343200 is a wasteful number, since it uses less digits than its factorization.

11343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 11343200 is about 3367.9667456791. The cubic root of 11343200 is about 224.6873022496.

Adding to 11343200 its reverse (234311), we get a palindrome (11577511).

Subtracting from 11343200 its reverse (234311), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1134 and 3200, that added together give a palindrome (4334).

The spelling of 11343200 in words is "eleven million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1289 1760 2200 2578 4400 5156 6445 8800 10312 12890 14179 20624 25780 28358 32225 41248 51560 56716 64450 70895 103120 113432 128900 141790 206240 226864 257800 283580 354475 453728 515600 567160 708950 1031200 1134320 1417900 2268640 2835800 5671600 11343200