Base | Representation |
---|---|
bin | 1100111011110110… |
… | …0000011101100000 |
3 | 22221222121120110000 |
4 | 3032331200131200 |
5 | 24102342331430 |
6 | 1332313540000 |
7 | 152021320143 |
oct | 31675403540 |
9 | 8858546400 |
10 | 3472230240 |
11 | 1521a8aa76 |
12 | 80aa14600 |
13 | 43449580b |
14 | 24d21005a |
15 | 154c73e60 |
hex | cef60760 |
3472230240 has 480 divisors, whose sum is σ = 13172544000. Its totient is φ = 858719232.
The previous prime is 3472230193. The next prime is 3472230241. The reversal of 3472230240 is 420322743.
3472230240 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 (480).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3472230241) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14528041 + ... + 14528279.
It is an arithmetic number, because the mean of its divisors is an integer number (27442800).
Almost surely, 23472230240 is an apocalyptic number.
3472230240 is a gapful number since it is divisible by the number (30) 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 3472230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272000).
3472230240 is an abundant number, since it is smaller than the sum of its proper divisors (9700313760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3472230240 is a wasteful number, since it uses less digits than its factorization.
3472230240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 344 (or 327 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 27.
The square root of 3472230240 is about 58925.6331319401. The cubic root of 3472230240 is about 1514.2683262341.
Adding to 3472230240 its reverse (420322743), we get a palindrome (3892552983).
The spelling of 3472230240 in words is "three billion, four hundred seventy-two million, two hundred thirty thousand, two hundred forty".
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