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104081344 = 2617271353
BaseRepresentation
bin1100011010000…
…10011111000000
321020211212202121
412031002133000
5203121100334
614154454024
72402451103
oct615023700
9236755677
10104081344
1153829944
122aa34314
13187423c3
14db7473a
15920ddb4
hex63427c0

104081344 has 56 divisors (see below), whose sum is σ = 220114368. Its totient is φ = 48660480.

The previous prime is 104081323. The next prime is 104081357. The reversal of 104081344 is 443180401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294672 + ... + 295024.

Almost surely, 2104081344 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 104081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110057184).

104081344 is an abundant number, since it is smaller than the sum of its proper divisors (116033024).

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

104081344 is a wasteful number, since it uses less digits than its factorization.

104081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 104081344 is about 10202.0264653646. The cubic root of 104081344 is about 470.3895126235.

The spelling of 104081344 in words is "one hundred four million, eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 271 272 353 542 544 706 1084 1088 1412 2168 2824 4336 4607 5648 6001 8672 9214 11296 12002 17344 18428 22592 24004 36856 48008 73712 95663 96016 147424 191326 192032 294848 382652 384064 765304 1530608 1626271 3061216 3252542 6122432 6505084 13010168 26020336 52040672 104081344