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3822381000 = 233253424709
BaseRepresentation
bin1110001111010100…
…1110011111001000
3100212101111001222200
43203311032133020
530312012143000
61431142520200
7163502462634
oct34365163710
910771431880
103822381000
1116916a8469
128a8136060
1348bba2509
14283919dc4
1517588c500
hexe3d4e7c8

3822381000 has 96 divisors (see below), whose sum is σ = 12919678200. Its totient is φ = 1019299200.

The previous prime is 3822380977. The next prime is 3822381007. The reversal of 3822381000 is 1832283.

It can be written as a sum of positive squares in 4 ways, for example, as 2319578244 + 1502802756 = 48162^2 + 38766^2 .

It is a super-2 number, since 2×38223810002 = 29221193018322000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3822381007) 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, 203355 + ... + 221354.

Almost surely, 23822381000 is an apocalyptic number.

3822381000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3822381000 is an abundant number, since it is smaller than the sum of its proper divisors (9097297200).

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

3822381000 is a wasteful number, since it uses less digits than its factorization.

3822381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424736 (or 424719 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3822381000 is about 61825.4073985768. The cubic root of 3822381000 is about 1563.5483822819.

The spelling of 3822381000 in words is "three billion, eight hundred twenty-two million, three hundred eighty-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 424709 849418 1274127 1698836 2123545 2548254 3397672 3822381 4247090 5096508 6370635 7644762 8494180 10193016 10617725 12741270 15289524 16988360 19111905 21235450 25482540 30579048 31853175 38223810 42470900 50965080 53088625 63706350 76447620 84941800 95559525 106177250 127412700 152895240 159265875 191119050 212354500 254825400 318531750 382238100 424709000 477797625 637063500 764476200 955595250 1274127000 1911190500 3822381000