Base | Representation |
---|---|
bin | 100111011100100… |
… | …0001101100000000 |
3 | 10102020112102102000 |
4 | 1032321001230000 |
5 | 10202313300333 |
6 | 335200424000 |
7 | 44541114255 |
oct | 11671015400 |
9 | 3366472360 |
10 | 1323571968 |
11 | 61a138234 |
12 | 30b318000 |
13 | 18129c1a4 |
14 | c7ad942c |
15 | 7b2e9713 |
hex | 4ee41b00 |
1323571968 has 144 divisors (see below), whose sum is σ = 3988988640. Its totient is φ = 432746496.
The previous prime is 1323571943. The next prime is 1323571969. The reversal of 1323571968 is 8691753231.
1323571968 is a `hidden beast` number, since 13 + 2 + 3 + 571 + 9 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (1323571969) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364530 + ... + 368142.
It is an arithmetic number, because the mean of its divisors is an integer number (27701310).
Almost surely, 21323571968 is an apocalyptic number.
1323571968 is a gapful number since it is divisible by the number (18) 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 1323571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994494320).
1323571968 is an abundant number, since it is smaller than the sum of its proper divisors (2665416672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1323571968 is an equidigital number, since it uses as much as digits as its factorization.
1323571968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3691 (or 3671 counting only the distinct ones).
The product of its digits is 272160, while the sum is 45.
The square root of 1323571968 is about 36380.9286302590. The cubic root of 1323571968 is about 1097.9498917083.
It can be divided in two parts, 132 and 3571968, that added together give a square (3572100 = 18902).
The spelling of 1323571968 in words is "one billion, three hundred twenty-three million, five hundred seventy-one thousand, nine hundred sixty-eight".
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