Search a number
-
+
34110320000 = 27541922441
BaseRepresentation
bin11111110001001000…
…100010110110000000
310021001012120210102012
4133301020202312000
51024324220220000
623400422312052
72315166636041
oct376110426600
9107035523365
1034110320000
1113514428309
12673b588628
1332a7b01703
1419182b88c8
15d498e1735
hex7f1222d80

34110320000 has 160 divisors (see below), whose sum is σ = 89388730200. Its totient is φ = 12925440000.

The previous prime is 34110319963. The next prime is 34110320059. The reversal of 34110320000 is 2301143.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1508780 + ... + 1531220.

Almost surely, 234110320000 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 34110320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44694365100).

34110320000 is an abundant number, since it is smaller than the sum of its proper divisors (55278410200).

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

34110320000 is an equidigital number, since it uses as much as digits as its factorization.

34110320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22494 (or 22467 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 34110320000 its reverse (2301143), we get a palindrome (34112621143).

The spelling of 34110320000 in words is "thirty-four billion, one hundred ten million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 304 320 380 400 475 500 608 625 640 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2432 2500 3040 3200 3800 4000 4750 5000 6080 7600 8000 9500 10000 11875 12160 15200 16000 19000 20000 22441 23750 30400 38000 40000 44882 47500 60800 76000 80000 89764 95000 112205 152000 179528 190000 224410 304000 359056 380000 426379 448820 561025 718112 760000 852758 897640 1122050 1436224 1520000 1705516 1795280 2131895 2244100 2805125 2872448 3411032 3590560 4263790 4488200 5610250 6822064 7181120 8527580 8976400 10659475 11220500 13644128 14025625 14362240 17055160 17952800 21318950 22441000 27288256 28051250 34110320 35905600 42637900 44882000 53297375 54576512 56102500 68220640 71811200 85275800 89764000 106594750 112205000 136441280 170551600 179528000 213189500 224410000 266486875 272882560 341103200 359056000 426379000 448820000 532973750 682206400 852758000 897640000 1065947500 1364412800 1705516000 1795280000 2131895000 3411032000 4263790000 6822064000 8527580000 17055160000 34110320000