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344400073 is a prime number
BaseRepresentation
bin10100100001110…
…010000011001001
3220000001100002021
4110201302003021
51201131300243
654101404441
711351231563
oct2441620311
9800040067
10344400073
1116744a966
1297409721
1356475334
1433a50333
152037e6ed
hex148720c9

344400073 has 2 divisors, whose sum is σ = 344400074. Its totient is φ = 344400072.

The previous prime is 344400037. The next prime is 344400097. The reversal of 344400073 is 370004443.

Together with previous prime (344400037) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172344384 + 172055689 = 13128^2 + 13117^2 .

It is a cyclic number.

It is not a de Polignac number, because 344400073 - 217 = 344269001 is a prime.

It is a super-2 number, since 2×3444000732 = 237222820564810658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (344407073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172200036 + 172200037.

It is an arithmetic number, because the mean of its divisors is an integer number (172200037).

Almost surely, 2344400073 is an apocalyptic number.

It is an amenable number.

344400073 is a deficient number, since it is larger than the sum of its proper divisors (1).

344400073 is an equidigital number, since it uses as much as digits as its factorization.

344400073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 344400073 is about 18558.0191022641. The cubic root of 344400073 is about 700.9511376514.

The spelling of 344400073 in words is "three hundred forty-four million, four hundred thousand, seventy-three".