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444005377 is a prime number
BaseRepresentation
bin11010011101101…
…111110000000001
31010221110210212121
4122131233300001
51402131133002
6112020324241
714000661214
oct3235576001
91127423777
10444005377
112086a18a2
12104843681
1370cab29a
1442d7b77b
1528ea7237
hex1a76fc01

444005377 has 2 divisors, whose sum is σ = 444005378. Its totient is φ = 444005376.

The previous prime is 444005369. The next prime is 444005407. The reversal of 444005377 is 773500444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 397165041 + 46840336 = 19929^2 + 6844^2 .

It is a cyclic number.

It is not a de Polignac number, because 444005377 - 23 = 444005369 is a prime.

It is a super-3 number, since 3×4440053773 (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (444005347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222002688 + 222002689.

It is an arithmetic number, because the mean of its divisors is an integer number (222002689).

Almost surely, 2444005377 is an apocalyptic number.

It is an amenable number.

444005377 is a deficient number, since it is larger than the sum of its proper divisors (1).

444005377 is an equidigital number, since it uses as much as digits as its factorization.

444005377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 444005377 is about 21071.4350958828. The cubic root of 444005377 is about 762.8914421905.

The spelling of 444005377 in words is "four hundred forty-four million, five thousand, three hundred seventy-seven".