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331006457 is a prime number
BaseRepresentation
bin10011101110101…
…100000111111001
3212001211212111102
4103232230013321
51134214201312
652502341145
711126336255
oct2356540771
9761755442
10331006457
1115a932061
1292a2a7b5
1353765c12
1431d65265
151e0d5ec2
hex13bac1f9

331006457 has 2 divisors, whose sum is σ = 331006458. Its totient is φ = 331006456.

The previous prime is 331006441. The next prime is 331006469. The reversal of 331006457 is 754600133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176650681 + 154355776 = 13291^2 + 12424^2 .

It is a cyclic number.

It is not a de Polignac number, because 331006457 - 24 = 331006441 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (331006057) 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, 165503228 + 165503229.

It is an arithmetic number, because the mean of its divisors is an integer number (165503229).

Almost surely, 2331006457 is an apocalyptic number.

It is an amenable number.

331006457 is a deficient number, since it is larger than the sum of its proper divisors (1).

331006457 is an equidigital number, since it uses as much as digits as its factorization.

331006457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 331006457 is about 18193.5828522037. The cubic root of 331006457 is about 691.7441396809.

The spelling of 331006457 in words is "three hundred thirty-one million, six thousand, four hundred fifty-seven".