Search a number
-
+
304242443344 = 24731929100613
BaseRepresentation
bin1000110110101100100…
…00110100010001010000
31002002022011211110221101
410123112100310101100
514441042031141334
6351433403234144
730660261046000
oct4332620642120
91062264743841
10304242443344
11108034a22824
124ab6a218954
13228c7a48308
1410a22766000
157da9d74214
hex46d6434450

304242443344 has 160 divisors (see below), whose sum is σ = 748568160000. Its totient is φ = 119266269696.

The previous prime is 304242443293. The next prime is 304242443369. The reversal of 304242443344 is 443344242403.

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, 2973582 + ... + 3074194.

It is an arithmetic number, because the mean of its divisors is an integer number (4678551000).

Almost surely, 2304242443344 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 304242443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374284080000).

304242443344 is an abundant number, since it is smaller than the sum of its proper divisors (444325716656).

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

304242443344 is a wasteful number, since it uses less digits than its factorization.

304242443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100690 (or 100670 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 37.

Adding to 304242443344 its reverse (443344242403), we get a palindrome (747586685747).

The spelling of 304242443344 in words is "three hundred four billion, two hundred forty-two million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 29 38 49 56 58 76 98 112 116 133 152 196 203 232 266 304 343 392 406 464 532 551 686 784 812 931 1064 1102 1372 1421 1624 1862 2128 2204 2744 2842 3248 3724 3857 4408 5488 5684 6517 7448 7714 8816 9947 11368 13034 14896 15428 19894 22736 26068 26999 30856 39788 52136 53998 61712 79576 100613 104272 107996 159152 188993 201226 215992 377986 402452 431984 704291 755972 804904 1408582 1511944 1609808 1911647 2817164 2917777 3023888 3823294 4930037 5634328 5835554 7646588 9860074 11268656 11671108 13381529 15293176 19720148 20424439 23342216 26763058 30586352 34510259 39440296 40848878 46684432 53526116 55437763 69020518 78880592 81697756 93670703 107052232 110875526 138041036 142971073 163395512 187341406 214104464 221751052 276082072 285942146 326791024 374682812 388064341 443502104 552164144 571884292 655694921 749365624 776128682 887004208 1000797511 1143768584 1311389842 1498731248 1552257364 2001595022 2287537168 2622779684 2716450387 3104514728 4003190044 5245559368 5432900774 6209029456 8006380088 10491118736 10865801548 16012760176 19015152709 21731603096 38030305418 43463206192 76060610836 152121221672 304242443344