Search a number
-
+
317402417 is a prime number
BaseRepresentation
bin10010111010110…
…010110100110001
3211010020201021002
4102322302310301
51122223334132
651255011345
710602606323
oct2272626461
9733221232
10317402417
11153190152
128a369b55
13509b1aa7
1430223613
151ccea262
hex12eb2d31

317402417 has 2 divisors, whose sum is σ = 317402418. Its totient is φ = 317402416.

The previous prime is 317402399. The next prime is 317402489. The reversal of 317402417 is 714204713.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 233203441 + 84198976 = 15271^2 + 9176^2 .

It is an emirp because it is prime and its reverse (714204713) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 317402417 - 216 = 317336881 is a prime.

It is a Chen prime.

It is equal to p17142680 and since 317402417 and 17142680 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 317402417.

It is not a weakly prime, because it can be changed into another prime (317402117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 158701208 + 158701209.

It is an arithmetic number, because the mean of its divisors is an integer number (158701209).

Almost surely, 2317402417 is an apocalyptic number.

It is an amenable number.

317402417 is a deficient number, since it is larger than the sum of its proper divisors (1).

317402417 is an equidigital number, since it uses as much as digits as its factorization.

317402417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 317402417 is about 17815.7912257637. The cubic root of 317402417 is about 682.1345963169.

The spelling of 317402417 in words is "three hundred seventeen million, four hundred two thousand, four hundred seventeen".