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12027344 = 247223229
BaseRepresentation
bin101101111000…
…010111010000
3211122001102012
4231320113100
511034333334
61105442052
7204142100
oct55702720
924561365
1012027344
11687535a
124040328
132651594
141851200
1510c89ce
hexb785d0

12027344 has 90 divisors (see below), whose sum is σ = 29314530. Its totient is φ = 4760448.

The previous prime is 12027317. The next prime is 12027359. The reversal of 12027344 is 44372021.

12027344 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 only one way, i.e., 10368400 + 1658944 = 3220^2 + 1288^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 414722 + ... + 414750.

It is an arithmetic number, because the mean of its divisors is an integer number (325717).

Almost surely, 212027344 is an apocalyptic number.

12027344 is a gapful number since it is divisible by the number (14) 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 12027344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657265).

12027344 is an abundant number, since it is smaller than the sum of its proper divisors (17287186).

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

12027344 is a wasteful number, since it uses less digits than its factorization.

12027344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 12027344 is about 3468.0461357946. The cubic root of 12027344 is about 229.1166114073.

Adding to 12027344 its reverse (44372021), we get a palindrome (56399365).

The spelling of 12027344 in words is "twelve million, twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 49 56 58 92 98 112 116 161 184 196 203 232 322 368 392 406 464 529 644 667 784 812 1058 1127 1288 1334 1421 1624 2116 2254 2576 2668 2842 3248 3703 4232 4508 4669 5336 5684 7406 8464 9016 9338 10672 11368 14812 15341 18032 18676 22736 25921 29624 30682 32683 37352 51842 59248 61364 65366 74704 103684 107387 122728 130732 207368 214774 245456 261464 414736 429548 522928 751709 859096 1503418 1718192 3006836 6013672 12027344