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80905344 = 2731319853
BaseRepresentation
bin1001101001010…
…00010010000000
312122020102021020
410310220102000
5131202432334
612010025440
72001453432
oct464502200
9178212236
1080905344
114173a423
1223118280
13139b94b0
14aa60652
157181e49
hex4d28480

80905344 has 128 divisors (see below), whose sum is σ = 243902400. Its totient is φ = 23556096.

The previous prime is 80905333. The next prime is 80905351. The reversal of 80905344 is 44350908.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94422 + ... + 95274.

Almost surely, 280905344 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 80905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121951200).

80905344 is an abundant number, since it is smaller than the sum of its proper divisors (162997056).

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

80905344 is a wasteful number, since it uses less digits than its factorization.

80905344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 80905344 is about 8994.7397961253. The cubic root of 80905344 is about 432.5062651815.

The spelling of 80905344 in words is "eighty million, nine hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 456 494 608 624 741 832 853 912 988 1216 1248 1482 1664 1706 1824 1976 2432 2496 2559 2964 3412 3648 3952 4992 5118 5928 6824 7296 7904 10236 11089 11856 13648 15808 16207 20472 22178 23712 27296 31616 32414 33267 40944 44356 47424 48621 54592 64828 66534 81888 88712 94848 97242 109184 129656 133068 163776 177424 194484 210691 259312 266136 327552 354848 388968 421382 518624 532272 632073 709696 777936 842764 1037248 1064544 1264146 1419392 1555872 1685528 2074496 2129088 2528292 3111744 3371056 4258176 5056584 6223488 6742112 10113168 13484224 20226336 26968448 40452672 80905344