Base | Representation |
---|---|
bin | 10011001101010… |
… | …111011101000000 |
3 | 211110102001202110 |
4 | 103031113131000 |
5 | 1130000133130 |
6 | 51551215320 |
7 | 10662154500 |
oct | 2315273500 |
9 | 743361673 |
10 | 322271040 |
11 | 155a06003 |
12 | 8bb17540 |
13 | 519c7b30 |
14 | 30b2da00 |
15 | 1d45cab0 |
hex | 13357740 |
322271040 has 672 divisors, whose sum is σ = 1401007104. Its totient is φ = 61931520.
The previous prime is 322271021. The next prime is 322271051. The reversal of 322271040 is 40172223.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 322270998 and 322271016.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10395825 + ... + 10395855.
It is an arithmetic number, because the mean of its divisors is an integer number (2084832).
Almost surely, 2322271040 is an apocalyptic number.
322271040 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 322271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700503552).
322271040 is an abundant number, since it is smaller than the sum of its proper divisors (1078736064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
322271040 is a wasteful number, since it uses less digits than its factorization.
322271040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 95 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 21.
The square root of 322271040 is about 17951.9090906789. The cubic root of 322271040 is about 685.6046590620.
The spelling of 322271040 in words is "three hundred twenty-two million, two hundred seventy-one thousand, forty".
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