Search a number
-
+
316968 = 23347281
BaseRepresentation
bin1001101011000101000
3121002210120
41031120220
540120333
610443240
72460051
oct1153050
9532716
10316968
111a7163
12133520
13b1372
1483728
1563db3
hex4d628

316968 has 32 divisors (see below), whose sum is σ = 812160. Its totient is φ = 103040.

The previous prime is 316961. The next prime is 316991. The reversal of 316968 is 869613.

316968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 5632-1.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 316968.

It is not an unprimeable number, because it can be changed into a prime (316961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 988 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (25380).

2316968 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 316968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406080).

316968 is an abundant number, since it is smaller than the sum of its proper divisors (495192).

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

316968 is a wasteful number, since it uses less digits than its factorization.

316968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 316968 is about 562.9991118998. Note that the first 3 decimals coincide. The cubic root of 316968 is about 68.1823250063.

The spelling of 316968 in words is "three hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 281 282 376 562 564 843 1124 1128 1686 2248 3372 6744 13207 26414 39621 52828 79242 105656 158484 316968