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11340012 = 22323181227
BaseRepresentation
bin101011010000…
…100011101100
3210100010120110
4223100203230
510400340022
61043020020
7165250155
oct53204354
923303513
1011340012
116445a12
12396a610
132470788
14171292c
15ee000c
hexad08ec

11340012 has 48 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 3579840.

The previous prime is 11339987. The next prime is 11340023. The reversal of 11340012 is 21004311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11340012.

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 15 ways as a sum of consecutive naturals, for example, 49843 + ... + 50069.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 211340012 is an apocalyptic number.

11340012 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 11340012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

11340012 is an abundant number, since it is smaller than the sum of its proper divisors (16545300).

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

11340012 is a wasteful number, since it uses less digits than its factorization.

11340012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11340012 is about 3367.4934298377. The cubic root of 11340012 is about 224.6662508639. Note that the first 3 decimals are identical.

Adding to 11340012 its reverse (21004311), we get a palindrome (32344323).

The spelling of 11340012 in words is "eleven million, three hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 181 227 276 362 454 543 681 724 908 1086 1362 2172 2724 4163 5221 8326 10442 12489 15663 16652 20884 24978 31326 41087 49956 62652 82174 123261 164348 246522 493044 945001 1890002 2835003 3780004 5670006 11340012