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382408381 is a prime number
BaseRepresentation
bin10110110010110…
…001011010111101
3222122120100200101
4112302301122331
51240344032011
6101540201101
712322263145
oct2662613275
9878510611
10382408381
11186950093
12a8099191
13612c2464
1438b05925
152388b2c1
hex16cb16bd

382408381 has 2 divisors, whose sum is σ = 382408382. Its totient is φ = 382408380.

The previous prime is 382408379. The next prime is 382408447. The reversal of 382408381 is 183804283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 362293156 + 20115225 = 19034^2 + 4485^2 .

It is a cyclic number.

It is not a de Polignac number, because 382408381 - 21 = 382408379 is a prime.

It is a super-2 number, since 2×3824083812 = 292472339718082322, which contains 22 as substring.

Together with 382408379, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 382408381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382403381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191204190 + 191204191.

It is an arithmetic number, because the mean of its divisors is an integer number (191204191).

Almost surely, 2382408381 is an apocalyptic number.

It is an amenable number.

382408381 is a deficient number, since it is larger than the sum of its proper divisors (1).

382408381 is an equidigital number, since it uses as much as digits as its factorization.

382408381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 382408381 is about 19555.2647898207. The cubic root of 382408381 is about 725.8426229868.

The spelling of 382408381 in words is "three hundred eighty-two million, four hundred eight thousand, three hundred eighty-one".