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34440203304 = 233213172164417
BaseRepresentation
bin100000000100110010…
…111100110000101000
310021220012022121020100
4200010302330300220
51031013143001204
623453245025400
72326313616663
oct400462746050
9107805277210
1034440203304
1113673662541
126811b55260
13332b263330
14194a02a6da
15d68854a39
hex804cbcc28

34440203304 has 96 divisors (see below), whose sum is σ = 106359500520. Its totient is φ = 9973628928.

The previous prime is 34440203297. The next prime is 34440203309. The reversal of 34440203304 is 40330204443.

It can be written as a sum of positive squares in 4 ways, for example, as 34299780804 + 140422500 = 185202^2 + 11850^2 .

It is a super-2 number, since 2×344402033042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34440203309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1066297 + ... + 1098120.

Almost surely, 234440203304 is an apocalyptic number.

34440203304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34440203304 is an abundant number, since it is smaller than the sum of its proper divisors (71919297216).

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

34440203304 is a wasteful number, since it uses less digits than its factorization.

34440203304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164459 (or 2164452 counting only the distinct ones).

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

Adding to 34440203304 its reverse (40330204443), we get a palindrome (74770407747).

The spelling of 34440203304 in words is "thirty-four billion, four hundred forty million, two hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 15912 2164417 4328834 6493251 8657668 12986502 17315336 19479753 25973004 28137421 36795089 38959506 51946008 56274842 73590178 77919012 84412263 110385267 112549684 147180356 155838024 168824526 220770534 225099368 253236789 294360712 331155801 337649052 441541068 478336157 506473578 662311602 675298104 883082136 956672314 1012947156 1324623204 1435008471 1913344628 2025894312 2649246408 2870016942 3826689256 4305025413 5740033884 8610050826 11480067768 17220101652 34440203304