| Base | Representation |
|---|---|
| bin | 100111100111010… |
| … | …0011110100100000 |
| 3 | 10102122011012122212 |
| 4 | 1033032203310200 |
| 5 | 10210234414200 |
| 6 | 335521421252 |
| 7 | 44640104432 |
| oct | 11716436440 |
| 9 | 3378135585 |
| 10 | 1329216800 |
| 11 | 62234328a |
| 12 | 31119a828 |
| 13 | 1824c7622 |
| 14 | c8768652 |
| 15 | 7ba62035 |
| hex | 4f3a3d20 |
1329216800 has 54 divisors (see below), whose sum is σ = 3247469883. Its totient is φ = 531274240.
The previous prime is 1329216743. The next prime is 1329216803. The reversal of 1329216800 is 86129231.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 916151824 + 413064976 = 30268^2 + 20324^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=25780.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1329216803) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1030556 + ... + 1031844.
Almost surely, 21329216800 is an apocalyptic number.
1329216800 is a gapful number since it is divisible by the number (10) 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 1329216800
1329216800 is an abundant number, since it is smaller than the sum of its proper divisors (1918253083).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1329216800 is an frugal number, since it uses more digits than its factorization.
1329216800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2598 (or 1296 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 32.
The square root of 1329216800 is about 36458.4256379784. The cubic root of 1329216800 is about 1099.5085407886.
Multiplying 1329216800 by its sum of digits (32), we get a square (42534937600 = 2062402).
1329216800 divided by its sum of digits (32) gives a square (41538025 = 64452).
The spelling of 1329216800 in words is "one billion, three hundred twenty-nine million, two hundred sixteen thousand, eight hundred".
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