Search a number
-
+
948138349 is a prime number
BaseRepresentation
bin111000100000110…
…111000101101101
32110002002102022011
4320200313011231
53420210411344
6234025521221
732332020514
oct7040670555
92402072264
10948138349
11447221414
12225643211
1312157c612
148dccb67b
1558389d34
hex3883716d

948138349 has 2 divisors, whose sum is σ = 948138350. Its totient is φ = 948138348.

The previous prime is 948138313. The next prime is 948138397. The reversal of 948138349 is 943831849.

948138349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 766293124 + 181845225 = 27682^2 + 13485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-948138349 is a prime.

It is a super-3 number, since 3×9481383493 (a number of 28 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (948138049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 474069174 + 474069175.

It is an arithmetic number, because the mean of its divisors is an integer number (474069175).

Almost surely, 2948138349 is an apocalyptic number.

It is an amenable number.

948138349 is a deficient number, since it is larger than the sum of its proper divisors (1).

948138349 is an equidigital number, since it uses as much as digits as its factorization.

948138349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 746496, while the sum is 49.

The square root of 948138349 is about 30791.8552380333. The cubic root of 948138349 is about 982.4050152160.

The spelling of 948138349 in words is "nine hundred forty-eight million, one hundred thirty-eight thousand, three hundred forty-nine".