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34345020630 = 23541431314957
BaseRepresentation
bin11111111111000111…
…110110110011010110
310021122120012211011010
4133333013312303112
51030314311130010
623440004553050
72324046600324
oct377707666326
9107576184133
1034345020630
1113624961378
1267a60b2786
13331461841b
14193b530d14
15d60302620
hex7ff1f6cd6

34345020630 has 128 divisors (see below), whose sum is σ = 87079297536. Its totient is φ = 8659123200.

The previous prime is 34345020629. The next prime is 34345020643. The reversal of 34345020630 is 3602054343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6926112 + ... + 6931068.

It is an arithmetic number, because the mean of its divisors is an integer number (680307012).

Almost surely, 234345020630 is an apocalyptic number.

34345020630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345020630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43539648768).

34345020630 is an abundant number, since it is smaller than the sum of its proper divisors (52734276906).

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

34345020630 is a wasteful number, since it uses less digits than its factorization.

34345020630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182.

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 34345020630 its reverse (3602054343), we get a palindrome (37947074973).

The spelling of 34345020630 in words is "thirty-four billion, three hundred forty-five million, twenty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 43 82 86 123 129 131 205 215 246 258 262 393 410 430 615 645 655 786 1230 1290 1310 1763 1965 3526 3930 4957 5289 5371 5633 8815 9914 10578 10742 11266 14871 16113 16899 17630 24785 26445 26855 28165 29742 32226 33798 49570 52890 53710 56330 74355 80565 84495 148710 161130 168990 203237 213151 230953 406474 426302 461906 609711 639453 649367 692859 1016185 1065755 1154765 1219422 1278906 1298734 1385718 1948101 2032370 2131510 2309530 3048555 3197265 3246835 3464295 3896202 6097110 6394530 6493670 6928590 8739191 9740505 17478382 19481010 26217573 26624047 27922781 43695955 52435146 53248094 55845562 79872141 83768343 87391910 131087865 133120235 139613905 159744282 167536686 262175730 266240470 279227810 399360705 418841715 798721410 837683430 1144834021 2289668042 3434502063 5724170105 6869004126 11448340210 17172510315 34345020630