Base | Representation |
---|---|
bin | 11101000000110… |
… | …10001110010000 |
3 | 121221221211112110 |
4 | 32200122032100 |
5 | 444301031130 |
6 | 40052225320 |
7 | 6013446024 |
oct | 1640321620 |
9 | 557854473 |
10 | 243377040 |
11 | 11541a855 |
12 | 6960b240 |
13 | 3b563caa |
14 | 24474384 |
15 | 16576ab0 |
hex | e81a390 |
243377040 has 80 divisors (see below), whose sum is σ = 760326336. Its totient is φ = 64396800.
The previous prime is 243377021. The next prime is 243377041. The reversal of 243377040 is 40773342.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 243376989 and 243377007.
It is not an unprimeable number, because it can be changed into a prime (243377041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27570 + ... + 35310.
Almost surely, 2243377040 is an apocalyptic number.
243377040 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 243377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380163168).
243377040 is an abundant number, since it is smaller than the sum of its proper divisors (516949296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
243377040 is a wasteful number, since it uses less digits than its factorization.
243377040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7888 (or 7882 counting only the distinct ones).
The product of its (nonzero) digits is 14112, while the sum is 30.
The square root of 243377040 is about 15600.5461442861. The cubic root of 243377040 is about 624.3477269673.
The spelling of 243377040 in words is "two hundred forty-three million, three hundred seventy-seven thousand, forty".
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