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330020334204 = 223113724144543
BaseRepresentation
bin1001100110101101011…
…11101010101001111100
31011112211200111000101220
410303112233222221330
520401340201143304
6411335333033340
732562132361521
oct4632657525174
91145750430356
10330020334204
11117a62969760
1253b63185850
1325175493282
1411d8a161148
1588b7ea2ad9
hex4cd6beaa7c

330020334204 has 144 divisors (see below), whose sum is σ = 884447133696. Its totient is φ = 94927910400.

The previous prime is 330020334173. The next prime is 330020334221. The reversal of 330020334204 is 402433020033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7386757 + ... + 7431299.

It is an arithmetic number, because the mean of its divisors is an integer number (6141993984).

Almost surely, 2330020334204 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 330020334204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442223566848).

330020334204 is an abundant number, since it is smaller than the sum of its proper divisors (554426799492).

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

330020334204 is a wasteful number, since it uses less digits than its factorization.

330020334204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44676 (or 44637 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 330020334204 its reverse (402433020033), we get a palindrome (732453354237).

The spelling of 330020334204 in words is "three hundred thirty billion, twenty million, three hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 37 41 44 66 74 82 111 123 132 148 164 222 246 407 444 451 492 814 902 1221 1353 1369 1517 1628 1804 2442 2706 2738 3034 4107 4551 4884 5412 5476 6068 8214 9102 15059 16428 16687 18204 30118 33374 44543 45177 50061 56129 60236 66748 89086 90354 100122 112258 133629 168387 178172 180708 200244 224516 267258 336774 489973 534516 617419 673548 979946 1234838 1469919 1648091 1826263 1852257 1959892 2469676 2939838 3296182 3652526 3704514 4944273 5478789 5879676 6592364 7305052 7409028 9888546 10957578 18129001 19777092 20088893 21915156 36258002 40177786 54387003 60266679 60979367 67571731 72516004 80355572 108774006 120533358 121958734 135143462 182938101 202715193 217548012 241066716 243917468 270286924 365876202 405430386 670773037 731752404 743289041 810860772 1341546074 1486578082 2012319111 2229867123 2500154047 2683092148 2973156164 4024638222 4459734246 5000308094 7500462141 8049276444 8919468492 10000616188 15000924282 27501694517 30001848564 55003389034 82505083551 110006778068 165010167102 330020334204