Search a number
-
+
317141712 = 2432472997
BaseRepresentation
bin10010111001110…
…011001011010000
3211002202110122100
4102321303023100
51122142013322
651245240400
710600442256
oct2271631320
9732673570
10317141712
11153022298
128a263100
1350920224
14301965d6
151cc97dac
hex12e732d0

317141712 has 90 divisors (see below), whose sum is σ = 907751858. Its totient is φ = 103360896.

The previous prime is 317141707. The next prime is 317141719. The reversal of 317141712 is 217141713.

317141712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 305690256 + 11451456 = 17484^2 + 3384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317141719) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 317598 + ... + 318594.

Almost surely, 2317141712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317141712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453875929).

317141712 is an abundant number, since it is smaller than the sum of its proper divisors (590610146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

317141712 is a wasteful number, since it uses less digits than its factorization.

317141712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1049 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 317141712 is about 17808.4730395394. The cubic root of 317141712 is about 681.9477834023.

Subtracting from 317141712 its reverse (217141713), we obtain a palindrome (99999999).

The spelling of 317141712 in words is "three hundred seventeen million, one hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 997 1128 1692 1994 2209 2256 2991 3384 3988 4418 5982 6627 6768 7976 8836 8973 11964 13254 15952 17672 17946 19881 23928 26508 35344 35892 39762 46859 47856 53016 71784 79524 93718 106032 140577 143568 159048 187436 281154 318096 374872 421731 562308 749744 843462 1124616 1686924 2202373 2249232 3373848 4404746 6607119 6747696 8809492 13214238 17618984 19821357 26428476 35237968 39642714 52856952 79285428 105713904 158570856 317141712