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1344224 = 25717353
BaseRepresentation
bin101001000001011100000
32112021221002
411020023200
5321003344
644451132
714266010
oct5101340
92467832
101344224
11838a32
12549aa8
13380acb
1426dc40
151b844e
hex1482e0

1344224 has 48 divisors (see below), whose sum is σ = 3211488. Its totient is φ = 540672.

The previous prime is 1344199. The next prime is 1344227. The reversal of 1344224 is 4224431.

It is a d-powerful number, because it can be written as 1 + 36 + 4 + 49 + 2 + 215 + 410 .

It is a junction number, because it is equal to n+sod(n) for n = 1344196 and 1344205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344227) 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 7 ways as a sum of consecutive naturals, for example, 3632 + ... + 3984.

It is an arithmetic number, because the mean of its divisors is an integer number (66906).

21344224 is an apocalyptic number.

1344224 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 1344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605744).

1344224 is an abundant number, since it is smaller than the sum of its proper divisors (1867264).

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

1344224 is a wasteful number, since it uses less digits than its factorization.

1344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 1344224 is about 1159.4067448484. The cubic root of 1344224 is about 110.3630976573.

Adding to 1344224 its reverse (4224431), we get a palindrome (5568655).

The spelling of 1344224 in words is "one million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 353 476 544 706 952 1412 1904 2471 2824 3808 4942 5648 6001 9884 11296 12002 19768 24004 39536 42007 48008 79072 84014 96016 168028 192032 336056 672112 1344224