Search a number
-
+
30033323244 = 22322983571607
BaseRepresentation
bin11011111110001000…
…000010010011101100
32212112001222220021100
4123332020002103230
5443002012320434
621444102203100
72112153015111
oct337610022354
985461886240
1030033323244
1111812034301
1259a2123490
132aa82618b2
14164ca40908
15baba0c699
hex6fe2024ec

30033323244 has 144 divisors (see below), whose sum is σ = 79751992320. Its totient is φ = 9517011840.

The previous prime is 30033323231. The next prime is 30033323279. The reversal of 30033323244 is 44232333003.

30033323244 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 332 + 324 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49477989 + ... + 49478595.

It is an arithmetic number, because the mean of its divisors is an integer number (553833280).

Almost surely, 230033323244 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 30033323244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39875996160).

30033323244 is an abundant number, since it is smaller than the sum of its proper divisors (49718669076).

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

30033323244 is a wasteful number, since it uses less digits than its factorization.

30033323244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 30033323244 its reverse (44232333003), we get a palindrome (74265656247).

The spelling of 30033323244 in words is "thirty billion, thirty-three million, three hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 83 87 116 166 174 249 261 332 348 498 522 571 607 747 996 1044 1142 1214 1494 1713 1821 2284 2407 2428 2988 3426 3642 4814 5139 5463 6852 7221 7284 9628 10278 10926 14442 16559 17603 20556 21663 21852 28884 33118 35206 43326 47393 49677 50381 52809 66236 70412 86652 94786 99354 100762 105618 142179 149031 151143 158427 189572 198708 201524 211236 284358 298062 302286 316854 346597 426537 453429 568716 596124 604572 633708 693194 853074 906858 1039791 1374397 1386388 1461049 1706148 1813716 2079582 2748794 2922098 3119373 4123191 4159164 4383147 5497588 5844196 6238746 8246382 8766294 10051313 12369573 12477492 13149441 16492764 17532588 20102626 24739146 26298882 28767551 30153939 40205252 49478292 52597764 57535102 60307878 86302653 90461817 115070204 120615756 172605306 180923634 258907959 345210612 361847268 517815918 834258979 1035631836 1668517958 2502776937 3337035916 5005553874 7508330811 10011107748 15016661622 30033323244