Search a number
-
+
316479744 = 2833731211
BaseRepresentation
bin10010110111010…
…001100100000000
3211001111211121000
4102313101210000
51122004322434
651223132000
710562014320
oct2267214400
9731454530
10316479744
1115270aa09
1289ba4000
135074ab29
1430063280
151cbb6b99
hex12dd1900

316479744 has 288 divisors, whose sum is σ = 1109319680. Its totient is φ = 87091200.

The previous prime is 316479743. The next prime is 316479791. The reversal of 316479744 is 447974613.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 316479744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316479743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499799 + ... + 1500009.

Almost surely, 2316479744 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 316479744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554659840).

316479744 is an abundant number, since it is smaller than the sum of its proper divisors (792839936).

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

316479744 is a wasteful number, since it uses less digits than its factorization.

316479744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 316479744 is about 17789.8775712482. The cubic root of 316479744 is about 681.4729777183.

It can be divided in two parts, 3164797 and 44, that added together give a square (3164841 = 17792).

The spelling of 316479744 in words is "three hundred sixteen million, four hundred seventy-nine thousand, seven hundred forty-four".