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2704404240 = 243355921221
BaseRepresentation
bin1010000100110001…
…1110111100010000
320222110210222012000
42201030132330100
521014311413430
61124204434000
7124006025316
oct24114367420
96873728160
102704404240
111168624a2a
12635848900
133413992c5
141b925c0b6
1510c654e60
hexa131ef10

2704404240 has 160 divisors (see below), whose sum is σ = 9473500800. Its totient is φ = 708917760.

The previous prime is 2704404221. The next prime is 2704404247. The reversal of 2704404240 is 424044072.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2704404247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116830 + ... + 138050.

It is an arithmetic number, because the mean of its divisors is an integer number (59209380).

Almost surely, 22704404240 is an apocalyptic number.

2704404240 is a gapful number since it is divisible by the number (20) 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 2704404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736750400).

2704404240 is an abundant number, since it is smaller than the sum of its proper divisors (6769096560).

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

2704404240 is a wasteful number, since it uses less digits than its factorization.

2704404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21302 (or 21290 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2704404240 is about 52003.8867778169. The cubic root of 2704404240 is about 1393.2333747470.

The spelling of 2704404240 in words is "two billion, seven hundred four million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 59 60 72 80 90 108 118 120 135 144 177 180 216 236 240 270 295 354 360 432 472 531 540 590 708 720 885 944 1062 1080 1180 1416 1593 1770 2124 2160 2360 2655 2832 3186 3540 4248 4720 5310 6372 7080 7965 8496 10620 12744 14160 15930 21221 21240 25488 31860 42442 42480 63663 63720 84884 106105 127326 127440 169768 190989 212210 254652 318315 339536 381978 424420 509304 572967 636630 763956 848840 954945 1018608 1145934 1252039 1273260 1527912 1697680 1909890 2291868 2504078 2546520 2864835 3055824 3756117 3819780 4583736 5008156 5093040 5729670 6260195 7512234 7639560 9167472 10016312 11268351 11459340 12520390 15024468 15279120 18780585 20032624 22536702 22918680 25040780 30048936 33805053 37561170 45073404 45837360 50081560 56341755 60097872 67610106 75122340 90146808 100163120 112683510 135220212 150244680 169025265 180293616 225367020 270440424 300489360 338050530 450734040 540880848 676101060 901468080 1352202120 2704404240