[go: up one dir, main page]

Search a number
-
+
316540224 = 26347111361
BaseRepresentation
bin10010110111100…
…000010101000000
3211001121220120000
4102313200111000
51122013241344
651224320000
710562355540
oct2267402500
9731556500
10316540224
111527513a0
128a013000
135076c510
143007b320
151cbc9a69
hex12de0540

316540224 has 560 divisors, whose sum is σ = 1280501376. Its totient is φ = 74649600.

The previous prime is 316540201. The next prime is 316540229. The reversal of 316540224 is 422045613.

316540224 is a `hidden beast` number, since 3 + 1 + 654 + 0 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316540229) 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 79 ways as a sum of consecutive naturals, for example, 5189154 + ... + 5189214.

Almost surely, 2316540224 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 316540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640250688).

316540224 is an abundant number, since it is smaller than the sum of its proper divisors (963961152).

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

316540224 is a wasteful number, since it uses less digits than its factorization.

316540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 316540224 is about 17791.5773331091. The cubic root of 316540224 is about 681.5163852995.

Adding to 316540224 its reverse (422045613), we get a palindrome (738585837).

The spelling of 316540224 in words is "three hundred sixteen million, five hundred forty thousand, two hundred twenty-four".