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331436993 is a prime number
BaseRepresentation
bin10011110000010…
…101001111000001
3212002122202002012
4103300111033001
51134321440433
652515502305
711133111416
oct2360251701
9762582065
10331436993
111600a6578
1292bb7995
1353886b84
143203810d
151e16d848
hex13c153c1

331436993 has 2 divisors, whose sum is σ = 331436994. Its totient is φ = 331436992.

The previous prime is 331436953. The next prime is 331436999. The reversal of 331436993 is 399634133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 328080769 + 3356224 = 18113^2 + 1832^2 .

It is a cyclic number.

It is not a de Polignac number, because 331436993 - 212 = 331432897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331436993.

It is not a weakly prime, because it can be changed into another prime (331436999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165718496 + 165718497.

It is an arithmetic number, because the mean of its divisors is an integer number (165718497).

Almost surely, 2331436993 is an apocalyptic number.

It is an amenable number.

331436993 is a deficient number, since it is larger than the sum of its proper divisors (1).

331436993 is an equidigital number, since it uses as much as digits as its factorization.

331436993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 157464, while the sum is 41.

The square root of 331436993 is about 18205.4110912113. The cubic root of 331436993 is about 692.0439240888.

The spelling of 331436993 in words is "three hundred thirty-one million, four hundred thirty-six thousand, nine hundred ninety-three".