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3820941000 = 233253424549
BaseRepresentation
bin1110001110111110…
…1110111011001000
3100212021202220200100
43203233232323020
530311130103000
61431052005400
7163454314452
oct34357567310
910767686610
103820941000
111690904588
128a7760860
1348b7b9c46
142836632d2
151756a5a00
hexe3beeec8

3820941000 has 96 divisors (see below), whose sum is σ = 12914811000. Its totient is φ = 1018915200.

The previous prime is 3820940989. The next prime is 3820941001. The reversal of 3820941000 is 1490283.

It can be written as a sum of positive squares in 4 ways, for example, as 1003242276 + 2817698724 = 31674^2 + 53082^2 .

It is not an unprimeable number, because it can be changed into a prime (3820941001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203275 + ... + 221274.

Almost surely, 23820941000 is an apocalyptic number.

3820941000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3820941000 is an abundant number, since it is smaller than the sum of its proper divisors (9093870000).

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

3820941000 is a wasteful number, since it uses less digits than its factorization.

3820941000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424576 (or 424559 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3820941000 is about 61813.7606039303. The cubic root of 3820941000 is about 1563.3520131893.

The spelling of 3820941000 in words is "three billion, eight hundred twenty million, nine hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 424549 849098 1273647 1698196 2122745 2547294 3396392 3820941 4245490 5094588 6368235 7641882 8490980 10189176 10613725 12736470 15283764 16981960 19104705 21227450 25472940 30567528 31841175 38209410 42454900 50945880 53068625 63682350 76418820 84909800 95523525 106137250 127364700 152837640 159205875 191047050 212274500 254729400 318411750 382094100 424549000 477617625 636823500 764188200 955235250 1273647000 1910470500 3820941000