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104313144 = 23313367911
BaseRepresentation
bin1100011011110…
…11000100111000
321021021122201210
412031323010320
5203201010034
614203443120
72404434645
oct615730470
9237248653
10104313144
1153978011
122ab264a0
13187c3a70
14dbd4dcc
1592578e9
hex637b138

104313144 has 64 divisors (see below), whose sum is σ = 281917440. Its totient is φ = 31973760.

The previous prime is 104313137. The next prime is 104313151. The reversal of 104313144 is 441313401.

It is an interprime number because it is at equal distance from previous prime (104313137) and next prime (104313151).

It is a super-2 number, since 2×1043131442 = 21762464022329472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104313144.

It is a congruent number.

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, 114049 + ... + 114959.

It is an arithmetic number, because the mean of its divisors is an integer number (4404960).

Almost surely, 2104313144 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 104313144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140958720).

104313144 is an abundant number, since it is smaller than the sum of its proper divisors (177604296).

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

104313144 is a wasteful number, since it uses less digits than its factorization.

104313144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 104313144 is about 10213.3806352255. The cubic root of 104313144 is about 470.7384558628.

Adding to 104313144 its reverse (441313401), we get a palindrome (545626545).

The spelling of 104313144 in words is "one hundred four million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 367 734 911 1101 1468 1822 2202 2733 2936 3644 4404 4771 5466 7288 8808 9542 10932 11843 14313 19084 21864 23686 28626 35529 38168 47372 57252 71058 94744 114504 142116 284232 334337 668674 1003011 1337348 2006022 2674696 4012044 4346381 8024088 8692762 13039143 17385524 26078286 34771048 52156572 104313144