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316068480 = 2734571367
BaseRepresentation
bin10010110101101…
…101001010000000
3211000201221110000
4102311231022000
51121403142410
651210240000
710555352310
oct2265551200
9730657400
10316068480
11152459a22
1289a26000
1350635890
142dd97440
151cb34dc0
hex12d6d280

316068480 has 640 divisors, whose sum is σ = 1409950080. Its totient is φ = 65691648.

The previous prime is 316068463. The next prime is 316068481. The reversal of 316068480 is 84860613.

It is a happy number.

316068480 is a `hidden beast` number, since 3 + 1 + 606 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316068481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717407 + ... + 4717473.

It is an arithmetic number, because the mean of its divisors is an integer number (2203047).

Almost surely, 2316068480 is an apocalyptic number.

316068480 is a gapful number since it is divisible by the number (30) 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 316068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704975040).

316068480 is an abundant number, since it is smaller than the sum of its proper divisors (1093881600).

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

316068480 is a wasteful number, since it uses less digits than its factorization.

316068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 316068480 is about 17778.3148807754. The cubic root of 316068480 is about 681.1776594061.

The spelling of 316068480 in words is "three hundred sixteen million, sixty-eight thousand, four hundred eighty".