Search a number
-
+
200326434560 = 285738895749
BaseRepresentation
bin1011101010010001100…
…0101100111100000000
3201011002002112021112022
42322210120230330000
511240232031401220
6232010110421012
720321163412160
oct2724430547400
9634062467468
10200326434560
1177a5a06032a
12329a8b01768
1315b76b44115
1499a55b65a0
155326e55925
hex2ea462cf00

200326434560 has 144 divisors (see below), whose sum is σ = 548630040000. Its totient is φ = 68653744128.

The previous prime is 200326434533. The next prime is 200326434577. The reversal of 200326434560 is 65434623002.

200326434560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 200326434560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34842566 + ... + 34848314.

Almost surely, 2200326434560 is an apocalyptic number.

200326434560 is a gapful number since it is divisible by the number (20) 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 200326434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274315020000).

200326434560 is an abundant number, since it is smaller than the sum of its proper divisors (348303605440).

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

200326434560 is an equidigital number, since it uses as much as digits as its factorization.

200326434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9666 (or 9652 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The spelling of 200326434560 in words is "two hundred billion, three hundred twenty-six million, four hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 3889 4480 5749 7778 8960 11498 15556 19445 22996 27223 28745 31112 38890 40243 45992 54446 57490 62224 77780 80486 91984 108892 114980 124448 136115 155560 160972 183968 201215 217784 229960 248896 272230 311120 321944 367936 402430 435568 459920 497792 544460 622240 643888 735872 804860 871136 919840 995584 1088920 1244480 1287776 1471744 1609720 1742272 1839680 2177840 2488960 2575552 3219440 3484544 3679360 4355680 4977920 5151104 6438880 6969088 7358720 8711360 10302208 12877760 17422720 22357861 25755520 34845440 44715722 51511040 89431444 111789305 156505027 178862888 223578610 313010054 357725776 447157220 626020108 715451552 782525135 894314440 1252040216 1430903104 1565050270 1788628880 2504080432 2861806208 3130100540 3577257760 5008160864 5723612416 6260201080 7154515520 10016321728 12520402160 14309031040 20032643456 25040804320 28618062080 40065286912 50081608640 100163217280 200326434560