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104353312 = 257795897
BaseRepresentation
bin1100011100001…
…00111000100000
321021100200211111
412032010320200
5203203301222
614204353104
72404663030
oct616047040
9237320744
10104353312
11539a5208
122ab45794
131880912b
14dc058c0
159264777
hex6384e20

104353312 has 48 divisors (see below), whose sum is σ = 237807360. Its totient is φ = 44149248.

The previous prime is 104353307. The next prime is 104353313. The reversal of 104353312 is 213353401.

It is a super-2 number, since 2×1043533122 = 21779227450738688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104353313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14748 + ... + 20644.

It is an arithmetic number, because the mean of its divisors is an integer number (4954320).

Almost surely, 2104353312 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 104353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118903680).

104353312 is an abundant number, since it is smaller than the sum of its proper divisors (133454048).

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

104353312 is an equidigital number, since it uses as much as digits as its factorization.

104353312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 104353312 is about 10215.3468859359. The cubic root of 104353312 is about 470.7988707349.

The spelling of 104353312 in words is "one hundred four million, three hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2528 4424 5897 8848 11794 17696 23588 41279 47176 82558 94352 165116 188704 330232 465863 660464 931726 1320928 1863452 3261041 3726904 6522082 7453808 13044164 14907616 26088328 52176656 104353312