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4297104 = 24337329
BaseRepresentation
bin10000011001000110010000
322002022112000
4100121012100
52100001404
6232034000
751345000
oct20310620
98068460
104297104
112475529
121532900
13b75b86
147dc000
1559d339
hex419190

4297104 has 160 divisors (see below), whose sum is σ = 14880000. Its totient is φ = 1185408.

The previous prime is 4297093. The next prime is 4297199. The reversal of 4297104 is 4017924.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148162 + ... + 148190.

It is an arithmetic number, because the mean of its divisors is an integer number (93000).

Almost surely, 24297104 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 4297104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440000).

4297104 is an abundant number, since it is smaller than the sum of its proper divisors (10582896).

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

4297104 is a wasteful number, since it uses less digits than its factorization.

4297104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4297104 is about 2072.9457301145. The cubic root of 4297104 is about 162.5768189064.

The spelling of 4297104 in words is "four million, two hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 49 54 56 58 63 72 84 87 98 108 112 116 126 144 147 168 174 189 196 203 216 232 252 261 294 336 343 348 378 392 406 432 441 464 504 522 588 609 686 696 756 783 784 812 882 1008 1029 1044 1176 1218 1323 1372 1392 1421 1512 1566 1624 1764 1827 2058 2088 2352 2436 2646 2744 2842 3024 3087 3132 3248 3528 3654 4116 4176 4263 4872 5292 5481 5488 5684 6174 6264 7056 7308 8232 8526 9261 9744 9947 10584 10962 11368 12348 12528 12789 14616 16464 17052 18522 19894 21168 21924 22736 24696 25578 29232 29841 34104 37044 38367 39788 43848 49392 51156 59682 68208 74088 76734 79576 87696 89523 102312 119364 148176 153468 159152 179046 204624 238728 268569 306936 358092 477456 537138 613872 716184 1074276 1432368 2148552 4297104