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11343312 = 2432372129
BaseRepresentation
bin101011010001…
…010111010000
3210100022002200
4223101113100
510400441222
61043043200
7165262611
oct53212720
923308080
1011343312
116448442
123970500
132472126
141713c08
15ee0eac
hexad15d0

11343312 has 60 divisors (see below), whose sum is σ = 32618820. Its totient is φ = 3677184.

The previous prime is 11343307. The next prime is 11343329. The reversal of 11343312 is 21334311.

11343312 is a `hidden beast` number, since 11 + 343 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 4562496 = 2604^2 + 2136^2 .

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

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4264 + ... + 6392.

It is an arithmetic number, because the mean of its divisors is an integer number (543647).

Almost surely, 211343312 is an apocalyptic number.

11343312 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 11343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16309410).

11343312 is an abundant number, since it is smaller than the sum of its proper divisors (21275508).

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

11343312 is a wasteful number, since it uses less digits than its factorization.

11343312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2171 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 11343312 is about 3367.9833728806. The cubic root of 11343312 is about 224.6880417497.

Adding to 11343312 its reverse (21334311), we get a palindrome (32677623).

Subtracting 11343312 from its reverse (21334311), we obtain a palindrome (9990999).

The spelling of 11343312 in words is "eleven million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2129 2664 4258 5328 6387 8516 12774 17032 19161 25548 34064 38322 51096 76644 78773 102192 153288 157546 236319 306576 315092 472638 630184 708957 945276 1260368 1417914 1890552 2835828 3781104 5671656 11343312