Base | Representation |
---|---|
bin | 1011111011010001… |
… | …1000100011110000 |
3 | 22021010000010110221 |
4 | 2332310120203300 |
5 | 23024024344440 |
6 | 1245401102424 |
7 | 142222322536 |
oct | 27664304360 |
9 | 8233003427 |
10 | 3201403120 |
11 | 13a3121603 |
12 | 754187a14 |
13 | 3c0340396 |
14 | 225272156 |
15 | 13b0c8d4a |
hex | bed188f0 |
3201403120 has 80 divisors (see below), whose sum is σ = 7932349440. Its totient is φ = 1198790912.
The previous prime is 3201403111. The next prime is 3201403169. The reversal of 3201403120 is 213041023.
It is a happy number.
3201403120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-3 number, since 3×32014031203 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 3201403094 and 3201403103.
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, 67971 + ... + 104989.
It is an arithmetic number, because the mean of its divisors is an integer number (99154368).
Almost surely, 23201403120 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 3201403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966174720).
3201403120 is an abundant number, since it is smaller than the sum of its proper divisors (4730946320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3201403120 is a wasteful number, since it uses less digits than its factorization.
3201403120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 37102 (or 37096 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 3201403120 is about 56580.9430815712. The cubic root of 3201403120 is about 1473.8279487456.
Adding to 3201403120 its reverse (213041023), we get a palindrome (3414444143).
The spelling of 3201403120 in words is "three billion, two hundred one million, four hundred three thousand, one hundred twenty".
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