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1324020240 = 243253175801
BaseRepresentation
bin100111011101010…
…1111001000010000
310102021101012022200
41032322233020100
510202422121430
6335214203200
744544662214
oct11672571020
93367335280
101324020240
1161a414004
1230b4b3500
131813c823a
14c7bb4944
157b387460
hex4eeaf210

1324020240 has 120 divisors (see below), whose sum is σ = 4461297048. Its totient is φ = 351897600.

The previous prime is 1324020223. The next prime is 1324020251. The reversal of 1324020240 is 420204231.

It can be written as a sum of positive squares in 4 ways, for example, as 178062336 + 1145957904 = 13344^2 + 33852^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 225340 + ... + 231140.

Almost surely, 21324020240 is an apocalyptic number.

1324020240 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 1324020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230648524).

1324020240 is an abundant number, since it is smaller than the sum of its proper divisors (3137276808).

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

1324020240 is a wasteful number, since it uses less digits than its factorization.

1324020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6128 counting only the distinct ones).

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

The square root of 1324020240 is about 36387.0889190108. The cubic root of 1324020240 is about 1098.0738302252.

Adding to 1324020240 its reverse (420204231), we get a palindrome (1744224471).

The spelling of 1324020240 in words is "one billion, three hundred twenty-four million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 317 360 634 720 951 1268 1585 1902 2536 2853 3170 3804 4755 5072 5706 5801 6340 7608 9510 11412 11602 12680 14265 15216 17403 19020 22824 23204 25360 28530 29005 34806 38040 45648 46408 52209 57060 58010 69612 76080 87015 92816 104418 114120 116020 139224 174030 208836 228240 232040 261045 278448 348060 417672 464080 522090 696120 835344 1044180 1392240 1838917 2088360 3677834 4176720 5516751 7355668 9194585 11033502 14711336 16550253 18389170 22067004 27583755 29422672 33100506 36778340 44134008 55167510 66201012 73556680 82751265 88268016 110335020 132402024 147113360 165502530 220670040 264804048 331005060 441340080 662010120 1324020240