Search a number
-
+
1993400329 is a prime number
BaseRepresentation
bin111011011010000…
…1110000000001001
312010220221020011211
41312310032000021
513040302302304
6525445253121
7100253423524
oct16664160011
95126836154
101993400329
1193324a198
124777041a1
13259ca642b
1414ca5bbbb
15ba00c204
hex76d0e009

1993400329 has 2 divisors, whose sum is σ = 1993400330. Its totient is φ = 1993400328.

The previous prime is 1993400261. The next prime is 1993400351. The reversal of 1993400329 is 9230043991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1960452729 + 32947600 = 44277^2 + 5740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1993400329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1993400291 and 1993400300.

It is not a weakly prime, because it can be changed into another prime (1993400359) 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, 996700164 + 996700165.

It is an arithmetic number, because the mean of its divisors is an integer number (996700165).

Almost surely, 21993400329 is an apocalyptic number.

It is an amenable number.

1993400329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1993400329 is an equidigital number, since it uses as much as digits as its factorization.

1993400329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 1993400329 is about 44647.5120135490. The cubic root of 1993400329 is about 1258.5336786725.

The spelling of 1993400329 in words is "one billion, nine hundred ninety-three million, four hundred thousand, three hundred twenty-nine".