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11334432 = 253373191
BaseRepresentation
bin101011001111…
…001100100000
3210022211220210
4223033030200
510400200212
61042534120
7165224664
oct53171440
923284823
1011334432
1164417aa
123967340
13246b085
1417108a4
15edd53c
hexacf320

11334432 has 48 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 3674880.

The previous prime is 11334419. The next prime is 11334467. The reversal of 11334432 is 23443311.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11334399 and 11334408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957 + ... + 5147.

It is an arithmetic number, because the mean of its divisors is an integer number (636804).

Almost surely, 211334432 is an apocalyptic number.

11334432 is a gapful number since it is divisible by the number (12) 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 11334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

11334432 is an abundant number, since it is smaller than the sum of its proper divisors (19232160).

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

11334432 is a wasteful number, since it uses less digits than its factorization.

11334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3233 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 11334432 is about 3366.6648184813. The cubic root of 11334432 is about 224.6293948370.

Adding to 11334432 its reverse (23443311), we get a palindrome (34777743).

It can be divided in two parts, 1133 and 4432, that added together give a triangular number (5565 = T105).

The spelling of 11334432 in words is "eleven million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3191 3552 6382 9573 12764 19146 25528 38292 51056 76584 102112 118067 153168 236134 306336 354201 472268 708402 944536 1416804 1889072 2833608 3778144 5667216 11334432