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673712256 = 2737534729
BaseRepresentation
bin101000001010000…
…000100010000000
31201221201010110210
4220022000202000
52334432243011
6150503554120
722460313450
oct5012004200
91657633423
10673712256
11316324a98
1216975b940
13a9767009
1465693d60
153e22d6a6
hex28280880

673712256 has 128 divisors (see below), whose sum is σ = 2084227200. Its totient is φ = 188817408.

The previous prime is 673712231. The next prime is 673712341. The reversal of 673712256 is 652217376.

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, 140100 + ... + 144828.

It is an arithmetic number, because the mean of its divisors is an integer number (16283025).

Almost surely, 2673712256 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 673712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042113600).

673712256 is an abundant number, since it is smaller than the sum of its proper divisors (1410514944).

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

673712256 is a wasteful number, since it uses less digits than its factorization.

673712256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4794 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 673712256 is about 25955.9676375203. The cubic root of 673712256 is about 876.6471313402.

The spelling of 673712256 in words is "six hundred seventy-three million, seven hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 318 336 371 384 424 448 636 672 742 848 896 1113 1272 1344 1484 1696 2226 2544 2688 2968 3392 4452 4729 5088 5936 6784 8904 9458 10176 11872 14187 17808 18916 20352 23744 28374 33103 35616 37832 47488 56748 66206 71232 75664 99309 113496 132412 142464 151328 198618 226992 250637 264824 302656 397236 453984 501274 529648 605312 751911 794472 907968 1002548 1059296 1503822 1588944 1754459 1815936 2005096 2118592 3007644 3177888 3508918 4010192 4237184 5263377 6015288 6355776 7017836 8020384 10526754 12030576 12711552 14035672 16040768 21053508 24061152 28071344 32081536 42107016 48122304 56142688 84214032 96244608 112285376 168428064 224570752 336856128 673712256