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3882336144 = 24380882003
BaseRepresentation
bin1110011101100111…
…1011111110010000
3101000120022002222120
43213121323332100
530422334224034
61441123534240
7165131212161
oct34731737620
911016262876
103882336144
111712528675
1290422a380
1349b434c2b
1428b885768
1517ac81c49
hexe767bf90

3882336144 has 20 divisors (see below), whose sum is σ = 10029368496. Its totient is φ = 1294112032.

The previous prime is 3882336131. The next prime is 3882336179. The reversal of 3882336144 is 4416332883.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3882336096 and 3882336105.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40440954 + ... + 40441049.

Almost surely, 23882336144 is an apocalyptic number.

It is an amenable number.

3882336144 is an abundant number, since it is smaller than the sum of its proper divisors (6147032352).

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

3882336144 is a wasteful number, since it uses less digits than its factorization.

3882336144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80882014 (or 80882008 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 3882336144 is about 62308.3954535823. The cubic root of 3882336144 is about 1571.6809108319.

The spelling of 3882336144 in words is "three billion, eight hundred eighty-two million, three hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 80882003 161764006 242646009 323528012 485292018 647056024 970584036 1294112048 1941168072 3882336144