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76306104 = 23337109463
BaseRepresentation
bin1001000110001…
…01011010111000
312022120202022000
410203011122320
5124013243404
611323301000
71614406530
oct443053270
9168522260
1076306104
113a0889a6
122167a760
1312a68c54
14a1c44c0
156a74339
hex48c56b8

76306104 has 128 divisors (see below), whose sum is σ = 244992000. Its totient is φ = 21555072.

The previous prime is 76306079. The next prime is 76306121. The reversal of 76306104 is 40160367.

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 31 ways as a sum of consecutive naturals, for example, 164577 + ... + 165039.

It is an arithmetic number, because the mean of its divisors is an integer number (1914000).

Almost surely, 276306104 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 76306104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122496000).

76306104 is an abundant number, since it is smaller than the sum of its proper divisors (168685896).

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

76306104 is a wasteful number, since it uses less digits than its factorization.

76306104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 76306104 is about 8735.3365132661. The cubic root of 76306104 is about 424.1502819600.

The spelling of 76306104 in words is "seventy-six million, three hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 109 126 168 189 216 218 252 327 378 436 463 504 654 756 763 872 926 981 1308 1389 1512 1526 1852 1962 2289 2616 2778 2943 3052 3241 3704 3924 4167 4578 5556 5886 6104 6482 6867 7848 8334 9156 9723 11112 11772 12501 12964 13734 16668 18312 19446 20601 23544 25002 25928 27468 29169 33336 38892 41202 50004 50467 54936 58338 77784 82404 87507 100008 100934 116676 151401 164808 175014 201868 233352 302802 350028 353269 403736 454203 605604 700056 706538 908406 1059807 1211208 1362609 1413076 1816812 2119614 2725218 2826152 3179421 3633624 4239228 5450436 6358842 8478456 9538263 10900872 12717684 19076526 25435368 38153052 76306104