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289340856 = 23337316173
BaseRepresentation
bin10001001111101…
…111110110111000
3202011110001001000
4101033233312320
51043032401411
644413325000
710112233230
oct2117576670
9664401030
10289340856
11139364082
1280a96760
1347c3820c
142a5dacc0
151a605956
hex113efdb8

289340856 has 128 divisors (see below), whose sum is σ = 948326400. Its totient is φ = 79989120.

The previous prime is 289340819. The next prime is 289340881. The reversal of 289340856 is 658043982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43786 + ... + 49958.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2289340856 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 289340856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474163200).

289340856 is an abundant number, since it is smaller than the sum of its proper divisors (658985544).

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

289340856 is a wasteful number, since it uses less digits than its factorization.

289340856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 289340856 is about 17010.0222222077. The cubic root of 289340856 is about 661.4087265638.

The spelling of 289340856 in words is "two hundred eighty-nine million, three hundred forty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1512 1674 1736 1953 2232 2604 3348 3906 5208 5859 6173 6696 7812 11718 12346 15624 18519 23436 24692 37038 43211 46872 49384 55557 74076 86422 111114 129633 148152 166671 172844 191363 222228 259266 333342 345688 382726 388899 444456 518532 574089 666684 765452 777798 1037064 1148178 1166697 1333368 1339541 1530904 1555596 1722267 2296356 2333394 2679082 3111192 3444534 4018623 4592712 4666788 5166801 5358164 6889068 8037246 9333576 10333602 10716328 12055869 13778136 16074492 20667204 24111738 32148984 36167607 41334408 48223476 72335214 96446952 144670428 289340856