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11384388 = 223441857
BaseRepresentation
bin101011011011…
…011001000100
3210102101110000
4223123121010
510403300023
61044001300
7165523431
oct53333104
923371400
1011384388
116476294
123990230
132487a32
141724b88
15eed243
hexadb644

11384388 has 60 divisors (see below), whose sum is σ = 30522492. Its totient is φ = 3697920.

The previous prime is 11384383. The next prime is 11384389. The reversal of 11384388 is 88348311.

11384388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5391684 + 5992704 = 2322^2 + 2448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11384381) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12856 + ... + 13712.

Almost surely, 211384388 is an apocalyptic number.

11384388 is a gapful number since it is divisible by the number (18) 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 11384388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261246).

11384388 is an abundant number, since it is smaller than the sum of its proper divisors (19138104).

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

11384388 is a wasteful number, since it uses less digits than its factorization.

11384388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 11384388 is about 3374.0758734800. The cubic root of 11384388 is about 224.9589258356.

The spelling of 11384388 in words is "eleven million, three hundred eighty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 857 1107 1476 1714 2214 2571 3321 3428 4428 5142 6642 7713 10284 13284 15426 23139 30852 35137 46278 69417 70274 92556 105411 138834 140548 210822 277668 316233 421644 632466 948699 1264932 1897398 2846097 3794796 5692194 11384388