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80934336 = 263376691
BaseRepresentation
bin1001101001011…
…11010111000000
312122021220001000
410310233113000
5131204344321
612010412000
72001634110
oct464572700
9178256030
1080934336
114175a18a
1223131000
13139c9752
14aa6b040
15718a826
hex4d2f5c0

80934336 has 112 divisors (see below), whose sum is σ = 271962880. Its totient is φ = 23120640.

The previous prime is 80934323. The next prime is 80934341. The reversal of 80934336 is 63343908.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 80934336.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8751 + ... + 15441.

It is an arithmetic number, because the mean of its divisors is an integer number (2428240).

Almost surely, 280934336 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 80934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135981440).

80934336 is an abundant number, since it is smaller than the sum of its proper divisors (191028544).

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

80934336 is a wasteful number, since it uses less digits than its factorization.

80934336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 80934336 is about 8996.3512603722. The cubic root of 80934336 is about 432.5579211189.

The spelling of 80934336 in words is "eighty million, nine hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 6691 12096 13382 20073 26764 40146 46837 53528 60219 80292 93674 107056 120438 140511 160584 180657 187348 214112 240876 281022 321168 361314 374696 421533 428224 481752 562044 642336 722628 749392 843066 963504 1124088 1264599 1284672 1445256 1498784 1686132 1927008 2248176 2529198 2890512 2997568 3372264 3854016 4496352 5058396 5781024 6744528 8992704 10116792 11562048 13489056 20233584 26978112 40467168 80934336