Base | Representation |
---|---|
bin | 1001000011110100… |
… | …0100111111010000 |
3 | 20021111002212020100 |
4 | 2100331010333100 |
5 | 14440033232240 |
6 | 1041152412400 |
7 | 114160031601 |
oct | 22075047720 |
9 | 6244085210 |
10 | 2431930320 |
11 | 1038841276 |
12 | 57a547100 |
13 | 2c9ab8431 |
14 | 190db1da8 |
15 | e3781e30 |
hex | 90f44fd0 |
2431930320 has 120 divisors (see below), whose sum is σ = 8222409000. Its totient is φ = 644133888.
The previous prime is 2431930309. The next prime is 2431930321. The reversal of 2431930320 is 230391342.
It is a happy number.
2431930320 is a `hidden beast` number, since 24 + 319 + 3 + 0 + 320 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 386358336 + 2045571984 = 19656^2 + 45228^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2431930321) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95946 + ... + 118614.
It is an arithmetic number, because the mean of its divisors is an integer number (68520075).
Almost surely, 22431930320 is an apocalyptic number.
2431930320 is a gapful number since it is divisible by the number (20) 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 2431930320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111204500).
2431930320 is an abundant number, since it is smaller than the sum of its proper divisors (5790478680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2431930320 is a wasteful number, since it uses less digits than its factorization.
2431930320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22837 (or 22828 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
The square root of 2431930320 is about 49314.6055444024. The cubic root of 2431930320 is about 1344.7773192610. Note that the first 3 decimals are identical.
The spelling of 2431930320 in words is "two billion, four hundred thirty-one million, nine hundred thirty thousand, three hundred twenty".
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