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34010130300 = 22352179768749
BaseRepresentation
bin11111101011001010…
…010110011101111100
310020210020001121222120
4133223022112131330
51024123043132200
623342443042540
72312542223556
oct375312263574
9106706047876
1034010130300
1113472917303
126711b10450
133290122773
141908c784d6
15d40c009a0
hex7eb29677c

34010130300 has 144 divisors (see below), whose sum is σ = 105266700000. Its totient is φ = 8447754240.

The previous prime is 34010130299. The next prime is 34010130311. The reversal of 34010130300 is 303101043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34010130300.

It is a congruent number.

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, 460326 + ... + 529074.

It is an arithmetic number, because the mean of its divisors is an integer number (731018750).

Almost surely, 234010130300 is an apocalyptic number.

34010130300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34010130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52633350000).

34010130300 is an abundant number, since it is smaller than the sum of its proper divisors (71256569700).

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

34010130300 is a wasteful number, since it uses less digits than its factorization.

34010130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68880 (or 68873 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 34010130300 its reverse (303101043), we get a palindrome (34313231343).

The spelling of 34010130300 in words is "thirty-four billion, ten million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 97 100 102 150 170 194 204 255 291 300 340 388 425 485 510 582 850 970 1020 1164 1275 1455 1649 1700 1940 2425 2550 2910 3298 4850 4947 5100 5820 6596 7275 8245 9700 9894 14550 16490 19788 24735 29100 32980 41225 49470 68749 82450 98940 123675 137498 164900 206247 247350 274996 343745 412494 494700 687490 824988 1031235 1168733 1374980 1718725 2062470 2337466 3437450 3506199 4124940 4674932 5156175 5843665 6668653 6874900 7012398 10312350 11687330 13337306 14024796 17530995 20005959 20624700 23374660 26674612 29218325 33343265 35061990 40011918 58436650 66686530 70123980 80023836 87654975 100029795 113367101 116873300 133373060 166716325 175309950 200059590 226734202 333432650 340101303 350619900 400119180 453468404 500148975 566835505 666865300 680202606 1000297950 1133671010 1360405212 1700506515 2000595900 2267342020 2834177525 3401013030 5668355050 6802026060 8502532575 11336710100 17005065150 34010130300