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331346401 is a prime number
BaseRepresentation
bin10011101111111…
…111000111100001
3212002111010210221
4103233333013201
51134311041101
652513523041
711132253331
oct2357770741
9762433727
10331346401
11160044501
1292b73481
1353854879
14320130c1
151e151aa1
hex13bff1e1

331346401 has 2 divisors, whose sum is σ = 331346402. Its totient is φ = 331346400.

The previous prime is 331346387. The next prime is 331346467. The reversal of 331346401 is 104643133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252047376 + 79299025 = 15876^2 + 8905^2 .

It is a cyclic number.

It is not a de Polignac number, because 331346401 - 27 = 331346273 is a prime.

It is not a weakly prime, because it can be changed into another prime (331346501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165673200 + 165673201.

It is an arithmetic number, because the mean of its divisors is an integer number (165673201).

Almost surely, 2331346401 is an apocalyptic number.

It is an amenable number.

331346401 is a deficient number, since it is larger than the sum of its proper divisors (1).

331346401 is an equidigital number, since it uses as much as digits as its factorization.

331346401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 331346401 is about 18202.9228696932. The cubic root of 331346401 is about 691.9808659939.

Adding to 331346401 its reverse (104643133), we get a palindrome (435989534).

The spelling of 331346401 in words is "three hundred thirty-one million, three hundred forty-six thousand, four hundred one".