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316816320 = 2635330017
BaseRepresentation
bin10010111000100…
…011101111000000
3211002010221021210
4102320203233000
51122101110240
651234250120
710564615512
oct2270435700
9732127253
10316816320
1115291a877
128a126940
13508380a2
143010dbb2
151cc31780
hex12e23bc0

316816320 has 56 divisors (see below), whose sum is σ = 1005894864. Its totient is φ = 84484096.

The previous prime is 316816243. The next prime is 316816321. The reversal of 316816320 is 23618613.

316816320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316816321) 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 7 ways as a sum of consecutive naturals, for example, 164049 + ... + 165968.

Almost surely, 2316816320 is an apocalyptic number.

316816320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316816320 is an abundant number, since it is smaller than the sum of its proper divisors (689078544).

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

316816320 is a wasteful number, since it uses less digits than its factorization.

316816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330037 (or 330027 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 316816320 is about 17799.3348190319. The cubic root of 316816320 is about 681.7144741496.

The spelling of 316816320 in words is "three hundred sixteen million, eight hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 330017 660034 990051 1320068 1650085 1980102 2640136 3300170 3960204 4950255 5280272 6600340 7920408 9900510 10560544 13200680 15840816 19801020 21121088 26401360 31681632 39602040 52802720 63363264 79204080 105605440 158408160 316816320