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12321344 = 26723929
BaseRepresentation
bin101111000000…
…001001000000
3212011222201002
4233000021000
511123240334
61120031132
7206505200
oct57001100
925158632
1012321344
116a56232
1241624a8
132725349
1418ca400
151135b7e
hexbc0240

12321344 has 42 divisors (see below), whose sum is σ = 28449270. Its totient is φ = 5279232.

The previous prime is 12321343. The next prime is 12321359. The reversal of 12321344 is 44312321.

It can be written as a sum of positive squares in only one way, i.e., 8479744 + 3841600 = 2912^2 + 1960^2 .

It is not an unprimeable number, because it can be changed into a prime (12321341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1172 + ... + 5100.

Almost surely, 212321344 is an apocalyptic number.

12321344 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 12321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224635).

12321344 is an abundant number, since it is smaller than the sum of its proper divisors (16127926).

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

12321344 is an equidigital number, since it uses as much as digits as its factorization.

12321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3938 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 12321344 is about 3510.1772035041. The cubic root of 12321344 is about 230.9684683009.

Adding to 12321344 its reverse (44312321), we get a palindrome (56633665).

The spelling of 12321344 in words is "twelve million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3929 7858 15716 27503 31432 55006 62864 110012 125728 192521 220024 251456 385042 440048 770084 880096 1540168 1760192 3080336 6160672 12321344