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334103402324300 = 2252729116314151587
BaseRepresentation
bin100101111110111011000001…
…0100111010010000101001100
31121210221222021120001101001012
41023331312002213102011030
5322242422231443334200
63142324552324104352
7130242113524345640
oct11375660247220514
91553858246041035
10334103402324300
1197501503610904
123157b5895350b8
1311456a7aca9c6b
145c70995d96c20
152895be2393a35
hex12fdd829d214c

334103402324300 has 144 divisors (see below), whose sum is σ = 857885114338560. Its totient is φ = 110504640503040.

The previous prime is 334103402324291. The next prime is 334103402324381. The reversal of 334103402324300 is 3423204301433.

It is a super-2 number, since 2×3341034023243002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16533107 + ... + 30684693.

It is an arithmetic number, because the mean of its divisors is an integer number (5957535516240).

Almost surely, 2334103402324300 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 334103402324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428942557169280).

334103402324300 is an abundant number, since it is smaller than the sum of its proper divisors (523781712014260).

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

334103402324300 is a wasteful number, since it uses less digits than its factorization.

334103402324300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14152800 (or 14152793 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 334103402324300 its reverse (3423204301433), we get a palindrome (337526606625733).

The spelling of 334103402324300 in words is "three hundred thirty-four trillion, one hundred three billion, four hundred two million, three hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1163 1450 2030 2326 2900 4060 4652 5075 5815 8141 10150 11630 16282 20300 23260 29075 32564 33727 40705 58150 67454 81410 116300 134908 162820 168635 203525 236089 337270 407050 472178 674540 814100 843175 944356 1180445 1686350 2360890 3372700 4721780 5902225 11804450 14151587 23608900 28303174 56606348 70757935 99061109 141515870 198122218 283031740 353789675 396244436 410396023 495305545 707579350 820792046 990611090 1415158700 1641584092 1981222180 2051980115 2476527725 2872772161 4103960230 4953055450 5745544322 8207920460 9906110900 10259900575 11491088644 14363860805 16458295681 20519801150 28727721610 32916591362 41039602300 57455443220 65833182724 71819304025 82291478405 115208069767 143638608050 164582956810 230416139534 287277216100 329165913620 411457392025 460832279068 477290574749 576040348835 822914784050 954581149498 1152080697670 1645829568100 1909162298996 2304161395340 2386452873745 2880201744175 3341034023243 4772905747490 5760403488350 6682068046486 9545811494980 11520806976700 11932264368725 13364136092972 16705170116215 23864528737450 33410340232430 47729057474900 66820680464860 83525850581075 167051701162150 334103402324300