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30849984 = 263411541
BaseRepresentation
bin111010110101…
…1101111000000
32011001100020000
41311223233000
530344144414
63021120000
7523135434
oct165535700
964040200
1030849984
1116461060
12a3b9000
136511b39
1441509c4
152a95b09
hex1d6bbc0

30849984 has 140 divisors (see below), whose sum is σ = 99946968. Its totient is φ = 9331200.

The previous prime is 30849953. The next prime is 30850007. The reversal of 30849984 is 48994803.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56754 + ... + 57294.

Almost surely, 230849984 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 30849984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49973484).

30849984 is an abundant number, since it is smaller than the sum of its proper divisors (69096984).

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

30849984 is a wasteful number, since it uses less digits than its factorization.

30849984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 30849984 is about 5554.2761904680. The cubic root of 30849984 is about 313.6305172995.

The spelling of 30849984 in words is "thirty million, eight hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 541 576 594 648 704 792 864 891 1056 1082 1188 1296 1584 1623 1728 1782 2112 2164 2376 2592 3168 3246 3564 4328 4752 4869 5184 5951 6336 6492 7128 8656 9504 9738 11902 12984 14256 14607 17312 17853 19008 19476 23804 25968 28512 29214 34624 35706 38952 43821 47608 51936 53559 57024 58428 71412 77904 87642 95216 103872 107118 116856 142824 155808 160677 175284 190432 214236 233712 285648 311616 321354 350568 380864 428472 467424 482031 571296 642708 701136 856944 934848 964062 1142592 1285416 1402272 1713888 1928124 2570832 2804544 3427776 3856248 5141664 7712496 10283328 15424992 30849984