Base | Representation |
---|---|
bin | 1100110010010010… |
… | …0010110110110100 |
3 | 22212012011101000202 |
4 | 3030210202312310 |
5 | 24012111211040 |
6 | 1324322300032 |
7 | 151023432542 |
oct | 31444426664 |
9 | 8765141022 |
10 | 3432132020 |
11 | 1501392649 |
12 | 7b94b7618 |
13 | 429096365 |
14 | 247b72d92 |
15 | 1514a3015 |
hex | cc922db4 |
3432132020 has 48 divisors (see below), whose sum is σ = 7466815440. Its totient is φ = 1323592704.
The previous prime is 3432131993. The next prime is 3432132031. The reversal of 3432132020 is 202312343.
It can be written as a sum of positive squares in 8 ways, for example, as 444197776 + 2987934244 = 21076^2 + 54662^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 3432131983 and 3432132001.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435152 + ... + 442968.
It is an arithmetic number, because the mean of its divisors is an integer number (155558655).
Almost surely, 23432132020 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3432132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733407720).
3432132020 is an abundant number, since it is smaller than the sum of its proper divisors (4034683420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3432132020 is a wasteful number, since it uses less digits than its factorization.
3432132020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8612 (or 8610 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 3432132020 is about 58584.4008247929. The cubic root of 3432132020 is about 1508.4166875445.
Adding to 3432132020 its reverse (202312343), we get a palindrome (3634444363).
The spelling of 3432132020 in words is "three billion, four hundred thirty-two million, one hundred thirty-two thousand, twenty".
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