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238420753 is a prime number
BaseRepresentation
bin11100011011000…
…00001100010001
3121121122000210021
432031200030101
5442013431003
635354103441
75623354144
oct1615401421
9547560707
10238420753
1111264504a
1267a1ab81
133a51a08c
142394405b
1515de82bd
hexe360311

238420753 has 2 divisors, whose sum is σ = 238420754. Its totient is φ = 238420752.

The previous prime is 238420747. The next prime is 238420771. The reversal of 238420753 is 357024832.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 228977424 + 9443329 = 15132^2 + 3073^2 .

It is a cyclic number.

It is not a de Polignac number, because 238420753 - 213 = 238412561 is a prime.

It is a super-3 number, since 3×2384207533 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (238420153) 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 as a sum of consecutive naturals, namely, 119210376 + 119210377.

It is an arithmetic number, because the mean of its divisors is an integer number (119210377).

Almost surely, 2238420753 is an apocalyptic number.

It is an amenable number.

238420753 is a deficient number, since it is larger than the sum of its proper divisors (1).

238420753 is an equidigital number, since it uses as much as digits as its factorization.

238420753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 238420753 is about 15440.8792819580. The cubic root of 238420753 is about 620.0804205428.

The spelling of 238420753 in words is "two hundred thirty-eight million, four hundred twenty thousand, seven hundred fifty-three".