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104834016 = 25327149349
BaseRepresentation
bin1100011111110…
…10001111100000
321022021010020100
412033322033200
5203314142031
614222542400
72412034350
oct617721740
9238233210
10104834016
11541a3391
122b137a00
1318946b81
14dcccb60
15930bde6
hex63fa3e0

104834016 has 144 divisors (see below), whose sum is σ = 343980000. Its totient is φ = 29666304.

The previous prime is 104834003. The next prime is 104834099. The reversal of 104834016 is 610438401.

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

It is a nialpdrome in base 14.

It is a congruent number.

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, 300210 + ... + 300558.

It is an arithmetic number, because the mean of its divisors is an integer number (2388750).

Almost surely, 2104834016 is an apocalyptic number.

104834016 is a gapful number since it is divisible by the number (16) 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 104834016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990000).

104834016 is an abundant number, since it is smaller than the sum of its proper divisors (239145984).

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

104834016 is a wasteful number, since it uses less digits than its factorization.

104834016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104834016 is about 10238.8483727419. The cubic root of 104834016 is about 471.5206759041.

The spelling of 104834016 in words is "one hundred four million, eight hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 149 168 224 252 288 298 336 349 447 504 596 672 698 894 1008 1043 1047 1192 1341 1396 1788 2016 2086 2094 2384 2443 2682 2792 3129 3141 3576 4172 4188 4768 4886 5364 5584 6258 6282 7152 7329 8344 8376 9387 9772 10728 11168 12516 12564 14304 14658 16688 16752 18774 19544 21456 21987 25032 25128 29316 33376 33504 37548 39088 42912 43974 50064 50256 52001 58632 75096 78176 87948 100128 100512 104002 117264 150192 156003 175896 208004 234528 300384 312006 351792 364007 416008 468009 624012 703584 728014 832016 936018 1092021 1248024 1456028 1664032 1872036 2184042 2496048 2912056 3276063 3744072 4368084 4992096 5824112 6552126 7488144 8736168 11648224 13104252 14976288 17472336 26208504 34944672 52417008 104834016