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381214241 is a prime number
BaseRepresentation
bin10110101110001…
…101111000100001
3222120022200121222
4112232031320201
51240042323431
6101454424425
712306160532
oct2656157041
9876280558
10381214241
111862049a1
12a7802115
1360c94a75
14388b4689
152370257b
hex16b8de21

381214241 has 2 divisors, whose sum is σ = 381214242. Its totient is φ = 381214240.

The previous prime is 381214189. The next prime is 381214243. The reversal of 381214241 is 142412183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265005841 + 116208400 = 16279^2 + 10780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-381214241 is a prime.

It is a super-4 number, since 4×3812142414 (a number of 35 digits) contains 4444 as substring.

Together with 381214243, it forms a pair of twin primes.

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 381214241.

It is not a weakly prime, because it can be changed into another prime (381214243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190607120 + 190607121.

It is an arithmetic number, because the mean of its divisors is an integer number (190607121).

Almost surely, 2381214241 is an apocalyptic number.

It is an amenable number.

381214241 is a deficient number, since it is larger than the sum of its proper divisors (1).

381214241 is an equidigital number, since it uses as much as digits as its factorization.

381214241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 26.

The square root of 381214241 is about 19524.7084741360. The cubic root of 381214241 is about 725.0863098197.

It can be divided in two parts, 3812142 and 41, that added together give a palindrome (3812183).

The spelling of 381214241 in words is "three hundred eighty-one million, two hundred fourteen thousand, two hundred forty-one".