Base | Representation |
---|---|
bin | 101000011001010011… |
… | …000001100000000000 |
3 | 11010221211000002011200 |
4 | 220121103001200000 |
5 | 1202312231341430 |
6 | 31531545141200 |
7 | 3063564453405 |
oct | 503123014000 |
9 | 133854002150 |
10 | 43374090240 |
11 | 174385a7a78 |
12 | 84a5a8a800 |
13 | 4123106070 |
14 | 21567522ac |
15 | 11dcd22460 |
hex | a194c1800 |
43374090240 has 576 divisors, whose sum is σ = 166026762720. Its totient is φ = 10404495360.
The previous prime is 43374090223. The next prime is 43374090301. The reversal of 43374090240 is 4209047334.
43374090240 is a `hidden beast` number, since 4 + 3 + 3 + 7 + 409 + 0 + 240 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
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 = 43374090195 and 43374090204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49120839 + ... + 49121721.
Almost surely, 243374090240 is an apocalyptic number.
43374090240 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 43374090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83013381360).
43374090240 is an abundant number, since it is smaller than the sum of its proper divisors (122652672480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
43374090240 is a wasteful number, since it uses less digits than its factorization.
43374090240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 970 (or 947 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 36.
The spelling of 43374090240 in words is "forty-three billion, three hundred seventy-four million, ninety thousand, two hundred forty".
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