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3034324404 = 223223291071181
BaseRepresentation
bin1011010011011100…
…0001110110110100
321211110121122120100
42310313001312310
522203241340104
61221032034100
7135123221556
oct26467016664
97743548510
103034324404
111317884921
12708232930
13394841937
1420adbd4d6
1512b5c4139
hexb4dc1db4

3034324404 has 144 divisors (see below), whose sum is σ = 8364021120. Its totient is φ = 924591360.

The previous prime is 3034324387. The next prime is 3034324457. The reversal of 3034324404 is 4044234303.

It is a congruent number.

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, 2568694 + ... + 2569874.

It is an arithmetic number, because the mean of its divisors is an integer number (58083480).

Almost surely, 23034324404 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 3034324404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182010560).

3034324404 is an abundant number, since it is smaller than the sum of its proper divisors (5329696716).

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

3034324404 is a wasteful number, since it uses less digits than its factorization.

3034324404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3034324404 is about 55084.7020868771. The cubic root of 3034324404 is about 1447.7292088732.

Adding to 3034324404 its reverse (4044234303), we get a palindrome (7078558707).

The spelling of 3034324404 in words is "three billion, thirty-four million, three hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 107 116 138 174 207 214 261 276 321 348 414 428 522 642 667 828 963 1044 1181 1284 1334 1926 2001 2362 2461 2668 3103 3543 3852 4002 4724 4922 6003 6206 7086 7383 8004 9309 9844 10629 12006 12412 14172 14766 18618 21258 22149 24012 27163 27927 29532 34249 37236 42516 44298 54326 55854 68498 71369 81489 88596 102747 108652 111708 126367 136996 142738 162978 205494 214107 244467 252734 285476 308241 325956 379101 410988 428214 488934 505468 616482 642321 758202 787727 856428 977868 1137303 1232964 1284642 1516404 1575454 2274606 2363181 2569284 2906441 3150908 3664643 4549212 4726362 5812882 7089543 7329286 8719323 9452724 10993929 11625764 14179086 14658572 17438646 21987858 26157969 28358172 32981787 34877292 43975716 52315938 65963574 84286789 104631876 131927148 168573578 252860367 337147156 505720734 758581101 1011441468 1517162202 3034324404