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104161344 = 2637194079
BaseRepresentation
bin1100011010101…
…10000001000000
321020222221111120
412031112001000
5203131130334
614200312240
72403233250
oct615260100
9236887446
10104161344
1153883a61
122aa72680
131876c941
14db95960
159227949
hex6356040

104161344 has 112 divisors (see below), whose sum is σ = 331622400. Its totient is φ = 28187136.

The previous prime is 104161339. The next prime is 104161357. The reversal of 104161344 is 443161401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 23497 + ... + 27575.

Almost surely, 2104161344 is an apocalyptic number.

104161344 is a gapful number since it is divisible by the number (14) 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 104161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165811200).

104161344 is an abundant number, since it is smaller than the sum of its proper divisors (227461056).

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

104161344 is a wasteful number, since it uses less digits than its factorization.

104161344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 104161344 is about 10205.9465019174. The cubic root of 104161344 is about 470.5100001902.

The spelling of 104161344 in words is "one hundred four million, one hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4079 4256 6384 8158 8512 12237 12768 16316 24474 25536 28553 32632 48948 57106 65264 77501 85659 97896 114212 130528 155002 171318 195792 228424 232503 261056 310004 342636 391584 456848 465006 542507 620008 685272 783168 913696 930012 1085014 1240016 1370544 1627521 1827392 1860024 2170028 2480032 2741088 3255042 3720048 4340056 4960064 5482176 6510084 7440096 8680112 13020168 14880192 17360224 26040336 34720448 52080672 104161344