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34103324300 = 225217296011151
BaseRepresentation
bin11111110000101101…
…110110111010001100
310021000201102101010012
4133300231312322030
51024320422334200
623400012332352
72315053321313
oct376055667214
9107021371105
1034103324300
111351048a341
1267391740b8
1332a6522446
1419173b727a
15d48eada35
hex7f0b76e8c

34103324300 has 144 divisors (see below), whose sum is σ = 81264798720. Its totient is φ = 12364800000.

The previous prime is 34103324293. The next prime is 34103324303. The reversal of 34103324300 is 342330143.

It is not an unprimeable number, because it can be changed into a prime (34103324303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29628725 + ... + 29629875.

It is an arithmetic number, because the mean of its divisors is an integer number (564338880).

Almost surely, 234103324300 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 34103324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40632399360).

34103324300 is an abundant number, since it is smaller than the sum of its proper divisors (47161474420).

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

34103324300 is a wasteful number, since it uses less digits than its factorization.

34103324300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 34103324300 its reverse (342330143), we get a palindrome (34445654443).

The spelling of 34103324300 in words is "thirty-four billion, one hundred three million, three hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 601 725 850 986 1151 1202 1450 1700 1972 2302 2404 2465 2900 3005 4604 4930 5755 6010 9860 10217 11510 12020 12325 15025 17429 19567 20434 23020 24650 28775 30050 33379 34858 39134 40868 49300 51085 57550 60100 66758 69716 78268 87145 97835 102170 115100 133516 166895 174290 195670 204340 255425 296293 333790 348580 391340 435725 489175 510850 567443 592586 667580 691751 834475 871450 978350 1021700 1134886 1185172 1383502 1481465 1668950 1742900 1956700 2269772 2767004 2837215 2962930 3337900 3458755 5674430 5925860 6917510 7407325 11348860 11759767 13835020 14186075 14814650 17293775 20060779 23519534 28372150 29629300 34587550 40121558 47039068 56744300 58798835 69175100 80243116 100303895 117597670 200607790 235195340 293994175 341033243 401215580 501519475 587988350 682066486 1003038950 1175976700 1364132972 1705166215 2006077900 3410332430 6820664860 8525831075 17051662150 34103324300