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2003320320 = 2935260849
BaseRepresentation
bin111011101101000…
…0011111000000000
312011121121012211220
41313122003320000
513100322222240
6530442035040
7100433641011
oct16732037000
95147535756
102003320320
11938905231
1247aaa8a80
1325c06a751
141500c1008
15bad1b5d0
hex77683e00

2003320320 has 80 divisors (see below), whose sum is σ = 6404389200. Its totient is φ = 534216704.

The previous prime is 2003320303. The next prime is 2003320321. The reversal of 2003320320 is 230233002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2003320320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003320321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122745 + ... + 138104.

It is an arithmetic number, because the mean of its divisors is an integer number (80054865).

Almost surely, 22003320320 is an apocalyptic number.

2003320320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003320320 is an abundant number, since it is smaller than the sum of its proper divisors (4401068880).

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

2003320320 is an equidigital number, since it uses as much as digits as its factorization.

2003320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260875 (or 260859 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 2003320320 is about 44758.4664616651. The cubic root of 2003320320 is about 1260.6178879262.

Adding to 2003320320 its reverse (230233002), we get a palindrome (2233553322).

The spelling of 2003320320 in words is "two billion, three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 260849 521698 782547 1043396 1304245 1565094 2086792 2608490 3130188 3912735 4173584 5216980 6260376 7825470 8347168 10433960 12520752 15650940 16694336 20867920 25041504 31301880 33388672 41735840 50083008 62603760 66777344 83471680 100166016 125207520 133554688 166943360 200332032 250415040 333886720 400664064 500830080 667773440 1001660160 2003320320