Base | Representation |
---|---|
bin | 11011000101001… |
… | …011011001100000 |
3 | 1011122220222101101 |
4 | 123011023121200 |
5 | 1412302422430 |
6 | 113030044144 |
7 | 14154562642 |
oct | 3305133140 |
9 | 1148828341 |
10 | 454342240 |
11 | 213512060 |
12 | 1081a9654 |
13 | 7318a281 |
14 | 444ac892 |
15 | 29d49dca |
hex | 1b14b660 |
454342240 has 96 divisors (see below), whose sum is σ = 1202783904. Its totient is φ = 160727040.
The previous prime is 454342219. The next prime is 454342247. The reversal of 454342240 is 42243454.
It is a junction number, because it is equal to n+sod(n) for n = 454342199 and 454342208.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (454342247) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61632 + ... + 68608.
It is an arithmetic number, because the mean of its divisors is an integer number (12528999).
Almost surely, 2454342240 is an apocalyptic number.
454342240 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 454342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601391952).
454342240 is an abundant number, since it is smaller than the sum of its proper divisors (748441664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
454342240 is a wasteful number, since it uses less digits than its factorization.
454342240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7040 (or 7032 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 28.
The square root of 454342240 is about 21315.3052992445. The cubic root of 454342240 is about 768.7663610328.
Adding to 454342240 its reverse (42243454), we get a palindrome (496585694).
It can be divided in two parts, 45434 and 2240, that added together give a palindrome (47674).
The spelling of 454342240 in words is "four hundred fifty-four million, three hundred forty-two thousand, two hundred forty".
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