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3066829840 = 24538335373
BaseRepresentation
bin1011011011001100…
…0001110000010000
321220201210002122101
42312303001300100
522240102023330
61224152450144
7135666423604
oct26663016020
97821702571
103066829840
111334166718
127170a9954
1339b4b3119
14211441504
1512e3954ca
hexb6cc1c10

3066829840 has 20 divisors (see below), whose sum is σ = 7130379564. Its totient is φ = 1226731904.

The previous prime is 3066829823. The next prime is 3066829847. The reversal of 3066829840 is 489286603.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1293409296 + 1773420544 = 35964^2 + 42112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (3066829847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19167607 + ... + 19167766.

Almost surely, 23066829840 is an apocalyptic number.

It is an amenable number.

3066829840 is an abundant number, since it is smaller than the sum of its proper divisors (4063549724).

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

3066829840 is a wasteful number, since it uses less digits than its factorization.

3066829840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38335386 (or 38335380 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 3066829840 is about 55378.9656819266. The cubic root of 3066829840 is about 1452.8804951332.

The spelling of 3066829840 in words is "three billion, sixty-six million, eight hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 38335373 76670746 153341492 191676865 306682984 383353730 613365968 766707460 1533414920 3066829840