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1444320 = 253251759
BaseRepresentation
bin101100000100111100000
32201101020100
411200213200
5332204240
650542400
715163563
oct5404740
92641210
101444320
118a7159
12597a00
133b7537
142984da
151d7e30
hex1609e0

1444320 has 144 divisors (see below), whose sum is σ = 5307120. Its totient is φ = 356352.

The previous prime is 1444309. The next prime is 1444411. The reversal of 1444320 is 234441.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1444293 and 1444302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24451 + ... + 24509.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

21444320 is an apocalyptic number.

1444320 is a gapful number since it is divisible by the number (10) 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 1444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653560).

1444320 is an abundant number, since it is smaller than the sum of its proper divisors (3862800).

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

1444320 is a wasteful number, since it uses less digits than its factorization.

1444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1444320 is about 1201.7986520212. The cubic root of 1444320 is about 113.0371350527.

Adding to 1444320 its reverse (234441), we get a palindrome (1678761).

It can be divided in two parts, 1444 and 320, that added together give a square (1764 = 422).

The spelling of 1444320 in words is "one million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 59 60 68 72 80 85 90 96 102 118 120 136 144 153 160 170 177 180 204 236 240 255 272 288 295 306 340 354 360 408 472 480 510 531 544 590 612 680 708 720 765 816 885 944 1003 1020 1062 1180 1224 1360 1416 1440 1530 1632 1770 1888 2006 2040 2124 2360 2448 2655 2720 2832 3009 3060 3540 4012 4080 4248 4720 4896 5015 5310 5664 6018 6120 7080 8024 8160 8496 9027 9440 10030 10620 12036 12240 14160 15045 16048 16992 18054 20060 21240 24072 24480 28320 30090 32096 36108 40120 42480 45135 48144 60180 72216 80240 84960 90270 96288 120360 144432 160480 180540 240720 288864 361080 481440 722160 1444320