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11234016 = 2532192053
BaseRepresentation
bin101010110110…
…101011100000
3210010202011200
4222312223200
510333442031
61040441200
7164326143
oct52665340
923122150
1011234016
116383312
123919200
132434461
1416c605a
15ebd8e6
hexab6ae0

11234016 has 72 divisors (see below), whose sum is σ = 33644520. Its totient is φ = 3545856.

The previous prime is 11234011. The next prime is 11234017. The reversal of 11234016 is 61043211.

It is a happy number.

11234016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11234016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11234011) 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, 4446 + ... + 6498.

It is an arithmetic number, because the mean of its divisors is an integer number (467285).

Almost surely, 211234016 is an apocalyptic number.

11234016 is a gapful number since it is divisible by the number (16) 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 11234016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16822260).

11234016 is an abundant number, since it is smaller than the sum of its proper divisors (22410504).

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

11234016 is a wasteful number, since it uses less digits than its factorization.

11234016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11234016 is about 3351.7183652568. The cubic root of 11234016 is about 223.9640673655.

Adding to 11234016 its reverse (61043211), we get a palindrome (72277227).

The spelling of 11234016 in words is "eleven million, two hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2053 2736 4106 5472 6159 8212 12318 16424 18477 24636 32848 36954 39007 49272 65696 73908 78014 98544 117021 147816 156028 197088 234042 295632 312056 351063 468084 591264 624112 702126 936168 1248224 1404252 1872336 2808504 3744672 5617008 11234016