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70976304 = 243373479
BaseRepresentation
bin1000011101100…
…00001100110000
311221112222012000
410032300030300
5121132220204
611013134000
71521201000
oct416601460
9157488160
1070976304
1137078603
121b92a300
1311921019
1495d8000
156370039
hex43b0330

70976304 has 160 divisors (see below), whose sum is σ = 238080000. Its totient is φ = 20236608.

The previous prime is 70976303. The next prime is 70976333. The reversal of 70976304 is 40367907.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70976303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147937 + ... + 148415.

It is an arithmetic number, because the mean of its divisors is an integer number (1488000).

Almost surely, 270976304 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 70976304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040000).

70976304 is an abundant number, since it is smaller than the sum of its proper divisors (167103696).

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

70976304 is a wasteful number, since it uses less digits than its factorization.

70976304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 70976304 is about 8424.7435569280. The cubic root of 70976304 is about 414.0357037051.

The spelling of 70976304 in words is "seventy million, nine hundred seventy-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 479 504 588 686 756 784 882 958 1008 1029 1176 1323 1372 1437 1512 1764 1916 2058 2352 2646 2744 2874 3024 3087 3353 3528 3832 4116 4311 5292 5488 5748 6174 6706 7056 7664 8232 8622 9261 10059 10584 11496 12348 12933 13412 16464 17244 18522 20118 21168 22992 23471 24696 25866 26824 30177 34488 37044 40236 46942 49392 51732 53648 60354 68976 70413 74088 80472 90531 93884 103464 120708 140826 148176 160944 164297 181062 187768 206928 211239 241416 281652 328594 362124 375536 422478 482832 492891 563304 633717 657188 724248 844956 985782 1126608 1267434 1314376 1448496 1478673 1689912 1971564 2534868 2628752 2957346 3379824 3943128 4436019 5069736 5914692 7886256 8872038 10139472 11829384 17744076 23658768 35488152 70976304