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2004331240 = 2351092331973
BaseRepresentation
bin111011101110111…
…1010101011101000
312011200111120120101
41313131322223220
513101102044430
6530515435144
7100445351212
oct16735725350
95150446511
102004331240
119394357aa
1247b2b5ab4
1325c332922
141502a55b2
15bae6adca
hex7777aae8

2004331240 has 64 divisors (see below), whose sum is σ = 4572968400. Its totient is φ = 790566912.

The previous prime is 2004331187. The next prime is 2004331243. The reversal of 2004331240 is 421334002.

It can be written as a sum of positive squares in 8 ways, for example, as 469415556 + 1534915684 = 21666^2 + 39178^2 .

It is not an unprimeable number, because it can be changed into a prime (2004331243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014894 + ... + 1016866.

Almost surely, 22004331240 is an apocalyptic number.

2004331240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004331240 is an abundant number, since it is smaller than the sum of its proper divisors (2568637160).

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

2004331240 is a wasteful number, since it uses less digits than its factorization.

2004331240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2004331240 is about 44769.7580962864. The cubic root of 2004331240 is about 1260.8298975454.

Adding to 2004331240 its reverse (421334002), we get a palindrome (2425665242).

The spelling of 2004331240 in words is "two billion, four million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 233 436 466 545 872 932 1090 1165 1864 1973 2180 2330 3946 4360 4660 7892 9320 9865 15784 19730 25397 39460 50794 78920 101588 126985 203176 215057 253970 430114 459709 507940 860228 919418 1015880 1075285 1720456 1838836 2150570 2298545 3677672 4301140 4597090 8602280 9194180 18388360 50108281 100216562 200433124 250541405 400866248 501082810 1002165620 2004331240