Search a number
-
+
316205472 = 253112347277
BaseRepresentation
bin10010110110001…
…110100110100000
3211000222220100210
4102312032212200
51121422033342
651213214120
710556462562
oct2266164640
9730886323
10316205472
11152542940
1289a91340
135068303b
142ddd1332
151cb6079c
hex12d8e9a0

316205472 has 192 divisors, whose sum is σ = 968454144. Its totient is φ = 89379840.

The previous prime is 316205471. The next prime is 316205497. The reversal of 316205472 is 274502613.

It is not an unprimeable number, because it can be changed into a prime (316205471) 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 in 31 ways as a sum of consecutive naturals, for example, 1141398 + ... + 1141674.

It is an arithmetic number, because the mean of its divisors is an integer number (5044032).

Almost surely, 2316205472 is an apocalyptic number.

316205472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316205472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484227072).

316205472 is an abundant number, since it is smaller than the sum of its proper divisors (652248672).

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

316205472 is a wasteful number, since it uses less digits than its factorization.

316205472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 316205472 is about 17782.1672469921. The cubic root of 316205472 is about 681.2760583473.

The spelling of 316205472 in words is "three hundred sixteen million, two hundred five thousand, four hundred seventy-two".