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31084704 = 2532717907
BaseRepresentation
bin111011010010…
…1000010100000
32011111021012100
41312211002200
530424202304
63030130400
7525133650
oct166450240
964437170
1031084704
1116601442
12a4b0a00
136594921
1441b2360
152ae0439
hex1da50a0

31084704 has 144 divisors (see below), whose sum is σ = 107085888. Its totient is φ = 8349696.

The previous prime is 31084693. The next prime is 31084727. The reversal of 31084704 is 40748013.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33819 + ... + 34725.

It is an arithmetic number, because the mean of its divisors is an integer number (743652).

Almost surely, 231084704 is an apocalyptic number.

31084704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31084704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53542944).

31084704 is an abundant number, since it is smaller than the sum of its proper divisors (76001184).

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

31084704 is a wasteful number, since it uses less digits than its factorization.

31084704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 31084704 is about 5575.3658175944. The cubic root of 31084704 is about 314.4239206398.

The spelling of 31084704 in words is "thirty-one million, eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 907 952 1008 1071 1224 1428 1632 1814 1904 2016 2142 2448 2721 2856 3628 3808 4284 4896 5442 5712 6349 7256 8163 8568 10884 11424 12698 14512 15419 16326 17136 19047 21768 25396 29024 30838 32652 34272 38094 43536 46257 50792 57141 61676 65304 76188 87072 92514 101584 107933 114282 123352 130608 138771 152376 185028 203168 215866 228564 246704 261216 277542 304752 323799 370056 431732 457128 493408 555084 609504 647598 740112 863464 914256 971397 1110168 1295196 1480224 1726928 1828512 1942794 2220336 2590392 3453856 3885588 4440672 5180784 7771176 10361568 15542352 31084704