Base | Representation |
---|---|
bin | 11010100110110… |
… | …110111110000000 |
3 | 1011002222011210000 |
4 | 122212312332000 |
5 | 1403234103430 |
6 | 112143440000 |
7 | 14030200635 |
oct | 3246667600 |
9 | 1132864700 |
10 | 446394240 |
11 | 209a83666 |
12 | 1055b6000 |
13 | 71636706 |
14 | 4340018c |
15 | 292c9e60 |
hex | 1a9b6f80 |
446394240 has 320 divisors, whose sum is σ = 1629144000. Its totient is φ = 116453376.
The previous prime is 446394217. The next prime is 446394241. The reversal of 446394240 is 42493644.
It is a tau number, because it is divible by the number of its divisors (320).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 446394195 and 446394204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (446394241) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4095306 + ... + 4095414.
It is an arithmetic number, because the mean of its divisors is an integer number (5091075).
Almost surely, 2446394240 is an apocalyptic number.
446394240 is a gapful number since it is divisible by the number (40) 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 446394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814572000).
446394240 is an abundant number, since it is smaller than the sum of its proper divisors (1182749760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
446394240 is a wasteful number, since it uses less digits than its factorization.
446394240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 219 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The square root of 446394240 is about 21128.0439227109. The cubic root of 446394240 is about 764.2571797573.
The spelling of 446394240 in words is "four hundred forty-six million, three hundred ninety-four thousand, two hundred forty".
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