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240430000 = 245424043
BaseRepresentation
bin11100101010010…
…10101110110000
3121202102002221211
432111022232300
5443022230000
635505125504
75646423046
oct1625125660
9552362854
10240430000
11113797688
1268629894
133aa71795
1423d08396
15161937ba
hexe54abb0

240430000 has 50 divisors (see below), whose sum is σ = 582129284. Its totient is φ = 96168000.

The previous prime is 240429979. The next prime is 240430007. The reversal of 240430000 is 34042.

240430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (240430007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2022 + ... + 22021.

Almost surely, 2240430000 is an apocalyptic number.

240430000 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 240430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291064642).

240430000 is an abundant number, since it is smaller than the sum of its proper divisors (341699284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240430000 is an equidigital number, since it uses as much as digits as its factorization.

240430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24071 (or 24050 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 240430000 is about 15505.8053644433. The cubic root of 240430000 is about 621.8174214175.

Adding to 240430000 its reverse (34042), we get a palindrome (240464042).

The spelling of 240430000 in words is "two hundred forty million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 24043 48086 96172 120215 192344 240430 384688 480860 601075 961720 1202150 1923440 2404300 3005375 4808600 6010750 9617200 12021500 15026875 24043000 30053750 48086000 60107500 120215000 240430000