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2831328240 = 2435131753381
BaseRepresentation
bin1010100011000010…
…1010001111110000
321022022122101011220
42220300222033300
521244310000430
61144541105040
7130106615166
oct25060521760
97268571156
102831328240
1112232358a4
12670258180
13361778970
141cc05b236
15118877110
hexa8c2a3f0

2831328240 has 160 divisors (see below), whose sum is σ = 10008484416. Its totient is φ = 655933440.

The previous prime is 2831328233. The next prime is 2831328251. The reversal of 2831328240 is 428231382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26350 + ... + 79730.

Almost surely, 22831328240 is an apocalyptic number.

2831328240 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 2831328240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004242208).

2831328240 is an abundant number, since it is smaller than the sum of its proper divisors (7177156176).

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

2831328240 is a wasteful number, since it uses less digits than its factorization.

2831328240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53427 (or 53421 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2831328240 is about 53210.2268365772. The cubic root of 2831328240 is about 1414.6969163611.

The spelling of 2831328240 in words is "two billion, eight hundred thirty-one million, three hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 10608 13260 17680 26520 53040 53381 106762 160143 213524 266905 320286 427048 533810 640572 693953 800715 854096 907477 1067620 1281144 1387906 1601430 1814954 2081859 2135240 2562288 2722431 2775812 3202860 3469765 3629908 4163718 4270480 4537385 5444862 5551624 6405720 6939530 7259816 8327436 9074770 10409295 10889724 11103248 11797201 12811440 13612155 13879060 14519632 16654872 18149540 20818590 21779448 23594402 27224310 27758120 33309744 35391603 36299080 41637180 43558896 47188804 54448620 55516240 58986005 70783206 72598160 83274360 94377608 108897240 117972010 141566412 166548720 176958015 188755216 217794480 235944020 283132824 353916030 471888040 566265648 707832060 943776080 1415664120 2831328240