Base | Representation |
---|---|
bin | 111100011110… |
… | …1100100000000 |
3 | 2012200000011201 |
4 | 1320331210000 |
5 | 31104200230 |
6 | 3051350544 |
7 | 533345230 |
oct | 170754400 |
9 | 65600151 |
10 | 31709440 |
11 | 16998854 |
12 | a752454 |
13 | 67530a9 |
14 | 42d5cc0 |
15 | 2bb55ca |
hex | 1e3d900 |
31709440 has 72 divisors (see below), whose sum is σ = 86829120. Its totient is φ = 10868736.
The previous prime is 31709417. The next prime is 31709449. The reversal of 31709440 is 4490713.
It is a super-2 number, since 2×317094402 = 2010977170227200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a junction number, because it is equal to n+sod(n) for n = 31709399 and 31709408.
It is not an unprimeable number, because it can be changed into a prime (31709449) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 7191 + ... + 10729.
It is an arithmetic number, because the mean of its divisors is an integer number (1205960).
Almost surely, 231709440 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 31709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43414560).
31709440 is an abundant number, since it is smaller than the sum of its proper divisors (55119680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31709440 is an equidigital number, since it uses as much as digits as its factorization.
31709440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3567 (or 3553 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 28.
The square root of 31709440 is about 5631.1135666047. The cubic root of 31709440 is about 316.5163805186.
The spelling of 31709440 in words is "thirty-one million, seven hundred nine thousand, four hundred forty".
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