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11384288 = 251721231
BaseRepresentation
bin101011011011…
…010111100000
3210102101022022
4223123113200
510403244123
61044001012
7165523226
oct53332740
923371268
1011384288
116476203
123990168
132487986
141724b16
15eed1c8
hexadb5e0

11384288 has 36 divisors (see below), whose sum is σ = 23828112. Its totient is φ = 5352960.

The previous prime is 11384273. The next prime is 11384291. The reversal of 11384288 is 88248311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8633 + ... + 9863.

It is an arithmetic number, because the mean of its divisors is an integer number (661892).

Almost surely, 211384288 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 11384288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914056).

11384288 is an abundant number, since it is smaller than the sum of its proper divisors (12443824).

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

11384288 is a wasteful number, since it uses less digits than its factorization.

11384288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1250 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 11384288 is about 3374.0610545750. The cubic root of 11384288 is about 224.9582671570.

The spelling of 11384288 in words is "eleven million, three hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 1231 2312 2462 4624 4924 9248 9848 19696 20927 39392 41854 83708 167416 334832 355759 669664 711518 1423036 2846072 5692144 11384288