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316142064 = 243271719971
BaseRepresentation
bin10010110101111…
…111000111110000
3211000212200101100
4102311333013300
51121413021224
651212004400
710556106660
oct2265770760
9730780340
10316142064
111524aa237
1289a60700
1350660214
142ddb61a0
151cb4bac9
hex12d7f1f0

316142064 has 240 divisors, whose sum is σ = 1128142080. Its totient is φ = 80455680.

The previous prime is 316142051. The next prime is 316142087. The reversal of 316142064 is 460241613.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325099 + ... + 326069.

It is an arithmetic number, because the mean of its divisors is an integer number (4700592).

Almost surely, 2316142064 is an apocalyptic number.

316142064 is a gapful number since it is divisible by the number (34) 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 316142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564071040).

316142064 is an abundant number, since it is smaller than the sum of its proper divisors (812000016).

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

316142064 is a wasteful number, since it uses less digits than its factorization.

316142064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 316142064 is about 17780.3842478165. The cubic root of 316142064 is about 681.2305170311.

Adding to 316142064 its reverse (460241613), we get a palindrome (776383677).

The spelling of 316142064 in words is "three hundred sixteen million, one hundred forty-two thousand, sixty-four".