Search a number
-
+
343124131233020 = 225379728517167627
BaseRepresentation
bin100111000000100011100111…
…1111101001011110011111100
31122222220100100122221212102112
41032001013033331023303330
5324433221210043424040
63213433014431113152
7132162620561054354
oct11601071775136374
91588810318855375
10343124131233020
119a36a143942955
12325979093727b8
131195c60b565cc7
1460a3421aa5b64
1529a06a57be365
hex13811cff4bcfc

343124131233020 has 96 divisors (see below), whose sum is σ = 747695196868032. Its totient is φ = 132158076346368.

The previous prime is 343124131233017. The next prime is 343124131233083. The reversal of 343124131233020 is 20332131421343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046866447 + ... + 2047034073.

It is an arithmetic number, because the mean of its divisors is an integer number (7788491634042).

Almost surely, 2343124131233020 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 343124131233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373847598434016).

343124131233020 is an abundant number, since it is smaller than the sum of its proper divisors (404571065635012).

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

343124131233020 is a wasteful number, since it uses less digits than its factorization.

343124131233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196287 (or 196285 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 343124131233020 its reverse (20332131421343), we get a palindrome (363456262654363).

The spelling of 343124131233020 in words is "three hundred forty-three trillion, one hundred twenty-four billion, one hundred thirty-one million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 97 148 185 194 370 388 485 740 970 1940 3589 7178 14356 17945 28517 35890 57034 71780 114068 142585 167627 285170 335254 570340 670508 838135 1055129 1676270 2110258 2766149 3352540 4220516 5275645 5532298 6202199 10551290 11064596 12404398 13830745 16259819 21102580 24808796 27661490 31010995 32519638 55322980 62021990 65039276 81299095 102347513 124043980 162598190 204695026 325196380 409390052 511737565 601613303 1023475130 1203226606 2046950260 2406453212 3008066515 4780219159 6016133030 9560438318 12032266060 19120876636 23901095795 47802191590 95604383180 176868108883 353736217766 463681258423 707472435532 884340544415 927362516846 1768681088830 1854725033692 2318406292115 3537362177660 4636812584230 9273625168460 17156206561651 34312413123302 68624826246604 85781032808255 171562065616510 343124131233020