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1244020320 = 253252337561
BaseRepresentation
bin100101000100110…
…0011111001100000
310012200211210001200
41022021203321200
510021432122240
6323235401200
742553666254
oct11211437140
93180753050
101244020320
11589242974
122a8753200
1316a967bca
14bb30c264
1574333930
hex4a263e60

1244020320 has 144 divisors (see below), whose sum is σ = 4429912032. Its totient is φ = 317306880.

The previous prime is 1244020313. The next prime is 1244020321. The reversal of 1244020320 is 230204421.

1244020320 is a `hidden beast` number, since 1 + 2 + 440 + 203 + 20 = 666.

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 = 1244020293 and 1244020302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244020321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14340 + ... + 51900.

It is an arithmetic number, because the mean of its divisors is an integer number (30763278).

Almost surely, 21244020320 is an apocalyptic number.

1244020320 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 1244020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214956016).

1244020320 is an abundant number, since it is smaller than the sum of its proper divisors (3185891712).

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

1244020320 is a wasteful number, since it uses less digits than its factorization.

1244020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37605 (or 37594 counting only the distinct ones).

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

The square root of 1244020320 is about 35270.6722362929. The cubic root of 1244020320 is about 1075.4968880136.

Adding to 1244020320 its reverse (230204421), we get a palindrome (1474224741).

The spelling of 1244020320 in words is "one billion, two hundred forty-four million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 37561 75122 112683 150244 187805 225366 300488 338049 375610 450732 563415 600976 676098 751220 863903 901464 1126830 1201952 1352196 1502440 1690245 1727806 1802928 2253660 2591709 2704392 3004880 3380490 3455612 3605856 4319515 4507320 5183418 5408784 6009760 6760980 6911224 7775127 8639030 9014640 10366836 10817568 12958545 13521960 13822448 15550254 17278060 18029280 20733672 25917090 27043920 27644896 31100508 34556120 38875635 41467344 51834180 54087840 62201016 69112240 77751270 82934688 103668360 124402032 138224480 155502540 207336720 248804064 311005080 414673440 622010160 1244020320