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238765409 is a prime number
BaseRepresentation
bin11100011101101…
…00010101100001
3121122021112120022
432032310111201
5442110443114
635405323225
75626321031
oct1616642541
9548245508
10238765409
1111285aa93
1267b66515
133a60ac0c
14239d38c1
1515e6548e
hexe3b4561

238765409 has 2 divisors, whose sum is σ = 238765410. Its totient is φ = 238765408.

The previous prime is 238765399. The next prime is 238765451. The reversal of 238765409 is 904567832.

238765409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159466384 + 79299025 = 12628^2 + 8905^2 .

It is a cyclic number.

It is not a de Polignac number, because 238765409 - 24 = 238765393 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 238765409.

It is not a weakly prime, because it can be changed into another prime (238765469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 119382704 + 119382705.

It is an arithmetic number, because the mean of its divisors is an integer number (119382705).

Almost surely, 2238765409 is an apocalyptic number.

It is an amenable number.

238765409 is a deficient number, since it is larger than the sum of its proper divisors (1).

238765409 is an equidigital number, since it uses as much as digits as its factorization.

238765409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 238765409 is about 15452.0357558478. The cubic root of 238765409 is about 620.3790683982.

The spelling of 238765409 in words is "two hundred thirty-eight million, seven hundred sixty-five thousand, four hundred nine".