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318280000 = 265473109
BaseRepresentation
bin10010111110001…
…001000101000000
3211011220022002011
4102332021011000
51122434430000
651325502304
710613223013
oct2276110500
9734808064
10318280000
1115372a525
128a711994
1350c2b37c
14303b137a
151ce202ba
hex12f89140

318280000 has 140 divisors (see below), whose sum is σ = 807382180. Its totient is φ = 124416000.

The previous prime is 318279971. The next prime is 318280033. The reversal of 318280000 is 82813.

318280000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 205750336 + 112529664 = 14344^2 + 10608^2 .

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2919946 + ... + 2920054.

Almost surely, 2318280000 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 318280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403691090).

318280000 is an abundant number, since it is smaller than the sum of its proper divisors (489102180).

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

318280000 is an equidigital number, since it uses as much as digits as its factorization.

318280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 318280000 is about 17840.4035828789. The cubic root of 318280000 is about 682.7626936722.

The spelling of 318280000 in words is "three hundred eighteen million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 109 125 146 160 200 218 250 292 320 365 400 436 500 545 584 625 730 800 872 1000 1090 1168 1250 1460 1600 1744 1825 2000 2180 2336 2500 2725 2920 3488 3650 4000 4360 4672 5000 5450 5840 6976 7300 7957 8000 8720 9125 10000 10900 11680 13625 14600 15914 17440 18250 20000 21800 23360 27250 29200 31828 34880 36500 39785 40000 43600 45625 54500 58400 63656 68125 73000 79570 87200 91250 109000 116800 127312 136250 146000 159140 174400 182500 198925 218000 254624 272500 292000 318280 365000 397850 436000 509248 545000 584000 636560 730000 795700 872000 994625 1090000 1273120 1460000 1591400 1989250 2180000 2546240 2920000 3182800 3978500 4360000 4973125 6365600 7957000 9946250 12731200 15914000 19892500 31828000 39785000 63656000 79570000 159140000 318280000