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104353344 = 26321710657
BaseRepresentation
bin1100011100001…
…00111001000000
321021100200212200
412032010321000
5203203301334
614204353200
72404663104
oct616047100
9237320780
10104353344
11539a5237
122ab45800
1318809154
14dc05904
159264799
hex6384e40

104353344 has 84 divisors (see below), whose sum is σ = 316734444. Its totient is φ = 32735232.

The previous prime is 104353331. The next prime is 104353351. The reversal of 104353344 is 443353401.

It can be written as a sum of positive squares in 2 ways, for example, as 38937600 + 65415744 = 6240^2 + 8088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4464 + ... + 15120.

Almost surely, 2104353344 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 104353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158367222).

104353344 is an abundant number, since it is smaller than the sum of its proper divisors (212381100).

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

104353344 is a wasteful number, since it uses less digits than its factorization.

104353344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10692 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 104353344 is about 10215.3484522066. The cubic root of 104353344 is about 470.7989188584.

The spelling of 104353344 in words is "one hundred four million, three hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 10657 21314 31971 42628 63942 85256 95913 127884 170512 181169 191826 255768 341024 362338 383652 511536 543507 682048 724676 767304 1023072 1087014 1449352 1534608 1630521 2046144 2174028 2898704 3069216 3261042 4348056 5797408 6138432 6522084 8696112 11594816 13044168 17392224 26088336 34784448 52176672 104353344