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11534304 = 253137877
BaseRepresentation
bin101011111111…
…111111100000
3210201000002110
4223333333200
510423044204
61051115320
7200016465
oct53777740
923630073
1011534304
116568991
123a42b40
13250b042
14176366c
15102c889
hexafffe0

11534304 has 48 divisors (see below), whose sum is σ = 30533328. Its totient is φ = 3812352.

The previous prime is 11534291. The next prime is 11534309. The reversal of 11534304 is 40343511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11534309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12714 + ... + 13590.

It is an arithmetic number, because the mean of its divisors is an integer number (636111).

Almost surely, 211534304 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 11534304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266664).

11534304 is an abundant number, since it is smaller than the sum of its proper divisors (18999024).

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

11534304 is a wasteful number, since it uses less digits than its factorization.

11534304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 11534304 is about 3396.2190742059. The cubic root of 11534304 is about 225.9420845149.

Adding to 11534304 its reverse (40343511), we get a palindrome (51877815).

The spelling of 11534304 in words is "eleven million, five hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 877 1096 1644 1754 2192 2631 3288 3508 4384 5262 6576 7016 10524 13152 14032 21048 28064 42096 84192 120149 240298 360447 480596 720894 961192 1441788 1922384 2883576 3844768 5767152 11534304