Search a number
-
+
243723660330 = 235194099531097
BaseRepresentation
bin1110001011111100001…
…1111110110000101010
3212022002112001202200110
43202333003332300222
512443121224112310
6303544243515150
723415461634243
oct3427703766052
9768075052613
10243723660330
11943a971a377
123b29a688ab6
1319ca198a837
14bb2102bcca
156516ce7d20
hex38bf0fec2a

243723660330 has 128 divisors (see below), whose sum is σ = 618439276800. Its totient is φ = 61301366784.

The previous prime is 243723660307. The next prime is 243723660371. The reversal of 243723660330 is 33066327342.

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, 222172342 + ... + 222173438.

It is an arithmetic number, because the mean of its divisors is an integer number (4831556850).

Almost surely, 2243723660330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243723660330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309219638400).

243723660330 is an abundant number, since it is smaller than the sum of its proper divisors (374715616470).

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

243723660330 is a wasteful number, since it uses less digits than its factorization.

243723660330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488.

The product of its (nonzero) digits is 326592, while the sum is 39.

Adding to 243723660330 its reverse (33066327342), we get a palindrome (276789987672).

The spelling of 243723660330 in words is "two hundred forty-three billion, seven hundred twenty-three million, six hundred sixty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 409 570 818 953 1097 1227 1906 2045 2194 2454 2859 3291 4090 4765 5485 5718 6135 6582 7771 9530 10970 12270 14295 15542 16455 18107 20843 23313 28590 32910 36214 38855 41686 46626 54321 62529 77710 90535 104215 108642 116565 125058 181070 208430 233130 271605 312645 389777 448673 543210 625290 779554 897346 1045441 1169331 1346019 1948885 2090882 2243365 2338662 2692038 3136323 3897770 4486730 5227205 5846655 6272646 6730095 7405763 8524787 10454410 11693310 13460190 14811526 15681615 17049574 19863379 22217289 25574361 31363230 37028815 39726758 42623935 44434578 51148722 59590137 74057630 85247870 99316895 111086445 119180274 127871805 198633790 222172890 255743610 297950685 427585369 595901370 855170738 1282756107 2137926845 2565512214 4275853690 6413780535 8124122011 12827561070 16248244022 24372366033 40620610055 48744732066 81241220110 121861830165 243723660330