Base | Representation |
---|---|
bin | 1100110010000111… |
… | …1010001010010000 |
3 | 22212010212021011220 |
4 | 3030201322022100 |
5 | 24011422103130 |
6 | 1324255405040 |
7 | 151014524166 |
oct | 31441721220 |
9 | 8763767156 |
10 | 3431441040 |
11 | 1500a60495 |
12 | 7b9223780 |
13 | 428bb39b1 |
14 | 247a33236 |
15 | 1513b8410 |
hex | cc87a290 |
3431441040 has 160 divisors (see below), whose sum is σ = 11227852800. Its totient is φ = 864529920.
The previous prime is 3431441023. The next prime is 3431441051. The reversal of 3431441040 is 401441343.
It is a super-2 number, since 2×34314410402 = 23549575221992563200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 3431441040.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2183455 + ... + 2185025.
It is an arithmetic number, because the mean of its divisors is an integer number (70174080).
Almost surely, 23431441040 is an apocalyptic number.
3431441040 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 3431441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613926400).
3431441040 is an abundant number, since it is smaller than the sum of its proper divisors (7796411760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3431441040 is a wasteful number, since it uses less digits than its factorization.
3431441040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2085 (or 2079 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 3431441040 is about 58578.5032243058. The cubic root of 3431441040 is about 1508.3154525384.
Adding to 3431441040 its reverse (401441343), we get a palindrome (3832882383).
The spelling of 3431441040 in words is "three billion, four hundred thirty-one million, four hundred forty-one thousand, forty".
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