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31073328 = 24331113503
BaseRepresentation
bin111011010001…
…0010000110000
32011110200121000
41312202100300
530423321303
63030002000
7525055536
oct166422060
964420530
1031073328
11165a3940
12a4a6300
13658c6b0
1441ac156
152adbda3
hex1da2430

31073328 has 160 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 8674560.

The previous prime is 31073293. The next prime is 31073333. The reversal of 31073328 is 82337013.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 61525 + ... + 62027.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 231073328 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 31073328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

31073328 is an abundant number, since it is smaller than the sum of its proper divisors (73919952).

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

31073328 is a wasteful number, since it uses less digits than its factorization.

31073328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 31073328 is about 5574.3455221219. The cubic root of 31073328 is about 314.3855596188.

The spelling of 31073328 in words is "thirty-one million, seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 503 528 572 594 624 702 792 858 936 1006 1144 1188 1287 1404 1509 1584 1716 1872 2012 2288 2376 2574 2808 3018 3432 3861 4024 4527 4752 5148 5533 5616 6036 6539 6864 7722 8048 9054 10296 11066 12072 13078 13581 15444 16599 18108 19617 20592 22132 24144 26156 27162 30888 33198 36216 39234 44264 49797 52312 54324 58851 61776 66396 71929 72432 78468 88528 99594 104624 108648 117702 132792 143858 149391 156936 176553 199188 215787 217296 235404 265584 287716 298782 313872 353106 398376 431574 470808 575432 597564 647361 706212 796752 863148 941616 1150864 1195128 1294722 1412424 1726296 1942083 2390256 2589444 2824848 3452592 3884166 5178888 7768332 10357776 15536664 31073328