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2003740304 = 241931892389
BaseRepresentation
bin111011101101110…
…1010011010010000
312011122101112221212
41313123222122100
513100424142204
6530455035252
7100440340316
oct16733523220
95148345855
102003740304
11939071825
1247b06bb28
1325c186967
141501900b6
15bada0c6e
hex776ea690

2003740304 has 80 divisors (see below), whose sum is σ = 4267584000. Its totient is φ = 907822080.

The previous prime is 2003740303. The next prime is 2003740357. The reversal of 2003740304 is 4030473002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2003740304.

It is not an unprimeable number, because it can be changed into a prime (2003740303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837542 + ... + 839930.

It is an arithmetic number, because the mean of its divisors is an integer number (53344800).

Almost surely, 22003740304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003740304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133792000).

2003740304 is an abundant number, since it is smaller than the sum of its proper divisors (2263843696).

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

2003740304 is a wasteful number, since it uses less digits than its factorization.

2003740304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 2003740304 is about 44763.1578868158. The cubic root of 2003740304 is about 1260.7059754118.

The spelling of 2003740304 in words is "two billion, three million, seven hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 31 38 62 76 89 124 152 178 248 304 356 496 589 712 1178 1424 1691 2356 2389 2759 3382 4712 4778 5518 6764 9424 9556 11036 13528 19112 22072 27056 38224 44144 45391 52421 74059 90782 104842 148118 181564 209684 212621 296236 363128 419368 425242 592472 726256 838736 850484 1184944 1407121 1700968 2814242 3401936 4039799 5628484 6591251 8079598 11256968 13182502 16159196 22513936 26365004 32318392 52730008 64636784 105460016 125233769 250467538 500935076 1001870152 2003740304