Base | Representation |
---|---|
bin | 11000001111101… |
… | …00011100000000 |
3 | 112011200120221200 |
4 | 30013310130000 |
5 | 404031021014 |
6 | 32103021200 |
7 | 5016446031 |
oct | 1407643400 |
9 | 464616850 |
10 | 203376384 |
11 | a4889762 |
12 | 5813a800 |
13 | 3319a073 |
14 | 1d020a88 |
15 | 12cc4a09 |
hex | c1f4700 |
203376384 has 108 divisors (see below), whose sum is σ = 592768176. Its totient is φ = 67055616.
The previous prime is 203376367. The next prime is 203376409. The reversal of 203376384 is 483673302.
203376384 is a `hidden beast` number, since 203 + 3 + 76 + 384 = 666.
203376384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236884 + ... + 237740.
Almost surely, 2203376384 is an apocalyptic number.
203376384 is a gapful number since it is divisible by the number (24) 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 203376384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296384088).
203376384 is an abundant number, since it is smaller than the sum of its proper divisors (389391792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
203376384 is a wasteful number, since it uses less digits than its factorization.
203376384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 982 (or 965 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 36.
The square root of 203376384 is about 14261.0092209493. The cubic root of 203376384 is about 588.0760695698.
The spelling of 203376384 in words is "two hundred three million, three hundred seventy-six thousand, three hundred eighty-four".
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