| Base | Representation |
|---|---|
| bin | 10011000111011… |
| … | …100111000010000 |
| 3 | 211100111021200100 |
| 4 | 103013130320100 |
| 5 | 1124101023100 |
| 6 | 51454052400 |
| 7 | 10643035620 |
| oct | 2307347020 |
| 9 | 740437610 |
| 10 | 320720400 |
| 11 | 155046a90 |
| 12 | 8b4aa100 |
| 13 | 515a40b0 |
| 14 | 30848880 |
| 15 | 1d253400 |
| hex | 131dce10 |
320720400 has 720 divisors, whose sum is σ = 1511153280. Its totient is φ = 60825600.
The previous prime is 320720381. The next prime is 320720417. The reversal of 320720400 is 4027023.
320720400 = T2640 + T2641 + ... + T2728.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
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 143 ways as a sum of consecutive naturals, for example, 3603556 + ... + 3603644.
It is an arithmetic number, because the mean of its divisors is an integer number (2098824).
Almost surely, 2320720400 is an apocalyptic number.
320720400 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 320720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755576640).
320720400 is an abundant number, since it is smaller than the sum of its proper divisors (1190432880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
320720400 is a wasteful number, since it uses less digits than its factorization.
320720400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 18.
The square root of 320720400 is about 17908.6682921986. The cubic root of 320720400 is about 684.5032717595.
Adding to 320720400 its reverse (4027023), we get a palindrome (324747423).
The spelling of 320720400 in words is "three hundred twenty million, seven hundred twenty thousand, four hundred".
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