Search a number
-
+
41730304 = 287112973
BaseRepresentation
bin1001111100110…
…0000100000000
32220112010012211
42133030010000
541140332204
64050231504
71014462460
oct237140400
986463184
1041730304
1121612660
1211b85594
1388512b5
145783ba0
1539e4804
hex27cc100

41730304 has 144 divisors (see below), whose sum is σ = 108904320. Its totient is φ = 15482880.

The previous prime is 41730301. The next prime is 41730317. The reversal of 41730304 is 40303714.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (41730301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571612 + ... + 571684.

It is an arithmetic number, because the mean of its divisors is an integer number (756280).

Almost surely, 241730304 is an apocalyptic number.

41730304 is a gapful number since it is divisible by the number (44) 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 41730304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54452160).

41730304 is an abundant number, since it is smaller than the sum of its proper divisors (67174016).

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

41730304 is a wasteful number, since it uses less digits than its factorization.

41730304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 41730304 is about 6459.8996896237. The cubic root of 41730304 is about 346.8570420484.

The spelling of 41730304 in words is "forty-one million, seven hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 73 77 88 112 116 128 146 154 176 203 224 232 256 292 308 319 352 406 448 464 511 584 616 638 704 803 812 896 928 1022 1168 1232 1276 1408 1606 1624 1792 1856 2044 2117 2233 2336 2464 2552 2816 3212 3248 3712 4088 4234 4466 4672 4928 5104 5621 6424 6496 7424 8176 8468 8932 9344 9856 10208 11242 12848 12992 14819 16352 16936 17864 18688 19712 20416 22484 23287 25696 25984 29638 32704 33872 35728 40832 44968 46574 51392 51968 59276 65408 67744 71456 81664 89936 93148 102784 118552 130816 135488 142912 163009 179872 186296 205568 237104 270976 285824 326018 359744 372592 474208 541952 571648 652036 719488 745184 948416 1304072 1438976 1490368 1896832 2608144 2980736 3793664 5216288 5961472 10432576 20865152 41730304