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287318016 = 21334433
BaseRepresentation
bin10001001000000…
…010000000000000
3202000122021020000
4101020002000000
51042023134031
644302120000
710056106566
oct2110020000
9660567200
10287318016
11138202307
1280280000
13476aa57b
142a231a36
151a3563e6
hex11202000

287318016 has 140 divisors (see below), whose sum is σ = 860336862. Its totient is φ = 95551488.

The previous prime is 287317997. The next prime is 287318039. The reversal of 287318016 is 610813782.

It can be written as a sum of positive squares in only one way, i.e., 279023616 + 8294400 = 16704^2 + 2880^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663336 + ... + 663768.

Almost surely, 2287318016 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 287318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430168431).

287318016 is an abundant number, since it is smaller than the sum of its proper divisors (573018846).

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

287318016 is an frugal number, since it uses more digits than its factorization.

287318016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 287318016 is about 16950.4576929356. The cubic root of 287318016 is about 659.8637735372.

The spelling of 287318016 in words is "two hundred eighty-seven million, three hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 433 512 576 648 768 864 866 1024 1152 1296 1299 1536 1728 1732 2048 2304 2592 2598 3072 3456 3464 3897 4096 4608 5184 5196 6144 6912 6928 7794 8192 9216 10368 10392 11691 12288 13824 13856 15588 18432 20736 20784 23382 24576 27648 27712 31176 35073 36864 41472 41568 46764 55296 55424 62352 70146 73728 82944 83136 93528 110592 110848 124704 140292 165888 166272 187056 221184 221696 249408 280584 331776 332544 374112 443392 498816 561168 663552 665088 748224 886784 997632 1122336 1330176 1496448 1773568 1995264 2244672 2660352 2992896 3547136 3990528 4489344 5320704 5985792 7981056 8978688 10641408 11971584 15962112 17957376 23943168 31924224 35914752 47886336 71829504 95772672 143659008 287318016