| Base | Representation |
|---|---|
| bin | 10011101110100… |
| … | …100001011100000 |
| 3 | 212001210012212100 |
| 4 | 103232210023200 |
| 5 | 1134212131140 |
| 6 | 52501530400 |
| 7 | 11126142354 |
| oct | 2356441340 |
| 9 | 761705770 |
| 10 | 330973920 |
| 11 | 15a90a672 |
| 12 | 92a13a00 |
| 13 | 53754174 |
| 14 | 31d57464 |
| 15 | 1e0cb530 |
| hex | 13ba42e0 |
330973920 has 144 divisors (see below), whose sum is σ = 1188991440. Its totient is φ = 83607552.
The previous prime is 330973891. The next prime is 330973927. The reversal of 330973920 is 29379033.
330973920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (330973927) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 21312 + ... + 33408.
It is an arithmetic number, because the mean of its divisors is an integer number (8256885).
Almost surely, 2330973920 is an apocalyptic number.
330973920 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 330973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594495720).
330973920 is an abundant number, since it is smaller than the sum of its proper divisors (858017520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330973920 is a wasteful number, since it uses less digits than its factorization.
330973920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12137 (or 12126 counting only the distinct ones).
The product of its (nonzero) digits is 30618, while the sum is 36.
The square root of 330973920 is about 18192.6886413196. The cubic root of 330973920 is about 691.7214734397.
The spelling of 330973920 in words is "three hundred thirty million, nine hundred seventy-three thousand, nine hundred twenty".
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