Base | Representation |
---|---|
bin | 1011001011100100… |
… | …1011010110010100 |
3 | 21202011112112001200 |
4 | 2302321023112110 |
5 | 22121320130030 |
6 | 1213452552500 |
7 | 134242624251 |
oct | 26271132624 |
9 | 7664475050 |
10 | 3001333140 |
11 | 13001a1013 |
12 | 6b9182730 |
13 | 38aa60290 |
14 | 206872428 |
15 | 128758d60 |
hex | b2e4b594 |
3001333140 has 144 divisors (see below), whose sum is σ = 9880206336. Its totient is φ = 733075200.
The previous prime is 3001333133. The next prime is 3001333141. The reversal of 3001333140 is 413331003.
3001333140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×30013331403 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3001333141) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301645 + ... + 311435.
It is an arithmetic number, because the mean of its divisors is an integer number (68612544).
Almost surely, 23001333140 is an apocalyptic number.
3001333140 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 3001333140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940103168).
3001333140 is an abundant number, since it is smaller than the sum of its proper divisors (6878873196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3001333140 is a wasteful number, since it uses less digits than its factorization.
3001333140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9950 (or 9945 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 3001333140 is about 54784.4242463129. The cubic root of 3001333140 is about 1442.4631742914.
Adding to 3001333140 its reverse (413331003), we get a palindrome (3414664143).
The spelling of 3001333140 in words is "three billion, one million, three hundred thirty-three thousand, one hundred forty".
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