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673366272 = 2835371233
BaseRepresentation
bin101000001000101…
…100000100000000
31201221001112212120
4220020230010000
52334340210042
6150452324240
722454342655
oct5010540400
91657045776
10673366272
11316109057
12169613680
13a96756a7
1465603c2c
153e1b0dec
hex2822c100

673366272 has 144 divisors (see below), whose sum is σ = 1859614848. Its totient is φ = 216186880.

The previous prime is 673366271. The next prime is 673366273. The reversal of 673366272 is 272663376.

It is an interprime number because it is at equal distance from previous prime (673366271) and next prime (673366273).

It is not an unprimeable number, because it can be changed into a prime (673366271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2889868 + ... + 2890100.

It is an arithmetic number, because the mean of its divisors is an integer number (12913992).

Almost surely, 2673366272 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 673366272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929807424).

673366272 is an abundant number, since it is smaller than the sum of its proper divisors (1186248576).

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

673366272 is a wasteful number, since it uses less digits than its factorization.

673366272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its digits is 381024, while the sum is 42.

The square root of 673366272 is about 25949.3019559294. The cubic root of 673366272 is about 876.4970386688.

The spelling of 673366272 in words is "six hundred seventy-three million, three hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 71 96 106 128 142 159 192 212 213 233 256 284 318 384 424 426 466 568 636 699 768 848 852 932 1136 1272 1398 1696 1704 1864 2272 2544 2796 3392 3408 3728 3763 4544 5088 5592 6784 6816 7456 7526 9088 10176 11184 11289 12349 13568 13632 14912 15052 16543 18176 20352 22368 22578 24698 27264 29824 30104 33086 37047 40704 44736 45156 49396 49629 54528 59648 60208 66172 74094 89472 90312 98792 99258 120416 132344 148188 178944 180624 197584 198516 240832 264688 296376 361248 395168 397032 481664 529376 592752 722496 790336 794064 876779 963328 1058752 1185504 1444992 1580672 1588128 1753558 2117504 2371008 2630337 2889984 3161344 3176256 3507116 4235008 4742016 5260674 6352512 7014232 9484032 10521348 12705024 14028464 21042696 28056928 42085392 56113856 84170784 112227712 168341568 224455424 336683136 673366272