Base | Representation |
---|---|
bin | 11000000000011… |
… | …10001110000000 |
3 | 112000221102001111 |
4 | 30000032032000 |
5 | 403023303312 |
6 | 31552213104 |
7 | 4663512535 |
oct | 1400161600 |
9 | 460842044 |
10 | 201384832 |
11 | a3749450 |
12 | 5753a194 |
13 | 3295072c |
14 | 1ca62d8c |
15 | 12a2e8a7 |
hex | c00e380 |
201384832 has 64 divisors (see below), whose sum is σ = 440089200. Its totient is φ = 91033600.
The previous prime is 201384829. The next prime is 201384853. The reversal of 201384832 is 238483102.
It is a tau number, because it is divible by the number of its divisors (64).
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 201384794 and 201384803.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395394 + ... + 395902.
Almost surely, 2201384832 is an apocalyptic number.
201384832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 201384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220044600).
201384832 is an abundant number, since it is smaller than the sum of its proper divisors (238704368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201384832 is a wasteful number, since it uses less digits than its factorization.
201384832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 815 (or 803 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 31.
The square root of 201384832 is about 14191.0123669878. The cubic root of 201384832 is about 586.1502020359.
The spelling of 201384832 in words is "two hundred one million, three hundred eighty-four thousand, eight hundred thirty-two".
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