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3232330020 = 22325171056317
BaseRepresentation
bin1100000010101001…
…0111000100100100
322100021012101012200
43000222113010210
523104434030040
61252424014500
7143046231453
oct30052270444
98307171180
103232330020
111409625427
12762601430
133c687b21a
14229402b9a
1513db87630
hexc0a97124

3232330020 has 72 divisors (see below), whose sum is σ = 10381493304. Its totient is φ = 811250688.

The previous prime is 3232330019. The next prime is 3232330033. The reversal of 3232330020 is 200332323.

3232330020 is a `hidden beast` number, since 323 + 23 + 300 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1442024676 + 1790305344 = 37974^2 + 42312^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3232329975 and 3232330002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525099 + ... + 531218.

It is an arithmetic number, because the mean of its divisors is an integer number (144187407).

Almost surely, 23232330020 is an apocalyptic number.

3232330020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3232330020 is an abundant number, since it is smaller than the sum of its proper divisors (7149163284).

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

3232330020 is a wasteful number, since it uses less digits than its factorization.

3232330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056349 (or 1056344 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3232330020 is about 56853.5840558887. The cubic root of 3232330020 is about 1478.5586801993.

Adding to 3232330020 its reverse (200332323), we get a palindrome (3432662343).

The spelling of 3232330020 in words is "three billion, two hundred thirty-two million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 1056317 2112634 3168951 4225268 5281585 6337902 9506853 10563170 12675804 15844755 17957389 19013706 21126340 31689510 35914778 38027412 47534265 53872167 63379020 71829556 89786945 95068530 107744334 161616501 179573890 190137060 215488668 269360835 323233002 359147780 538721670 646466004 808082505 1077443340 1616165010 3232330020