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104330268 = 22347157293
BaseRepresentation
bin1100011011111…
…11010000011100
321021022112020000
412031333100130
5203202032033
614204054300
72404535610
oct615772034
9237275200
10104330268
1153989969
122ab34390
13187cb7b3
14dbdb340
15925ca13
hex637f41c

104330268 has 120 divisors (see below), whose sum is σ = 314758752. Its totient is φ = 29517696.

The previous prime is 104330249. The next prime is 104330287. The reversal of 104330268 is 862033401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104330249) and next prime (104330287).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 355930 + ... + 356222.

Almost surely, 2104330268 is an apocalyptic number.

104330268 is a gapful number since it is divisible by the number (18) 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 104330268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157379376).

104330268 is an abundant number, since it is smaller than the sum of its proper divisors (210428484).

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

104330268 is a wasteful number, since it uses less digits than its factorization.

104330268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 104330268 is about 10214.2189128685. The cubic root of 104330268 is about 470.7642131929.

Adding to 104330268 its reverse (862033401), we get a palindrome (966363669).

The spelling of 104330268 in words is "one hundred four million, three hundred thirty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 157 162 189 252 293 314 324 378 471 567 586 628 756 879 942 1099 1134 1172 1413 1758 1884 2051 2198 2268 2637 2826 3297 3516 4102 4239 4396 5274 5652 6153 6594 7911 8204 8478 9891 10548 12306 12717 13188 15822 16956 18459 19782 23733 24612 25434 29673 31644 36918 39564 46001 47466 50868 55377 59346 73836 89019 92002 94932 110754 118692 138003 166131 178038 184004 221508 276006 322007 332262 356076 414009 552012 644014 664524 828018 966021 1242027 1288028 1656036 1932042 2484054 2898063 3726081 3864084 4968108 5796126 7452162 8694189 11592252 14904324 17388378 26082567 34776756 52165134 104330268