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240413300 = 22525345361
BaseRepresentation
bin11100101010001…
…10101001110100
3121202101021001022
432111012221310
5443021211200
635504520312
75646323261
oct1625065164
9552337038
10240413300
11113786086
1268620098
133aa66cba
1423d02268
151618d885
hexe546a74

240413300 has 36 divisors (see below), whose sum is σ = 531551916. Its totient is φ = 94348800.

The previous prime is 240413279. The next prime is 240413323. The reversal of 240413300 is 3314042.

240413300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 33686416 + 206726884 = 5804^2 + 14378^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17381 + ... + 27980.

It is an arithmetic number, because the mean of its divisors is an integer number (14765331).

Almost surely, 2240413300 is an apocalyptic number.

240413300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240413300 is an abundant number, since it is smaller than the sum of its proper divisors (291138616).

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

240413300 is a wasteful number, since it uses less digits than its factorization.

240413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45428 (or 45421 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 240413300 is about 15505.2668471071. The cubic root of 240413300 is about 621.8030241690.

Adding to 240413300 its reverse (3314042), we get a palindrome (243727342).

The spelling of 240413300 in words is "two hundred forty million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 45361 90722 181444 226805 453610 907220 1134025 2268050 2404133 4536100 4808266 9616532 12020665 24041330 48082660 60103325 120206650 240413300