Search a number
-
+
323034114312 = 233371316434377
BaseRepresentation
bin1001011001101100101…
…01010110100100001000
31010212210210200021101000
410230312111112210020
520243033213124222
6404222210055000
732224041444510
oct4546625264410
91125723607330
10323034114312
11114aa8377308
125273357a460
1324600ca3650
14118c6390840
1586099ab9ac
hex4b36556908

323034114312 has 128 divisors (see below), whose sum is σ = 1104390201600. Its totient is φ = 85195805184.

The previous prime is 323034114307. The next prime is 323034114341. The reversal of 323034114312 is 213411430323.

It is a happy number.

323034114312 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 341 + 1 + 4 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8197533 + ... + 8236844.

It is an arithmetic number, because the mean of its divisors is an integer number (8628048450).

Almost surely, 2323034114312 is an apocalyptic number.

It is an amenable number.

323034114312 is an abundant number, since it is smaller than the sum of its proper divisors (781356087288).

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

323034114312 is a wasteful number, since it uses less digits than its factorization.

323034114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16434412 (or 16434402 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 323034114312 its reverse (213411430323), we get a palindrome (536445544635).

The spelling of 323034114312 in words is "three hundred twenty-three billion, thirty-four million, one hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 16434377 32868754 49303131 65737508 98606262 115040639 131475016 147909393 197212524 213646901 230081278 295818786 345121917 394425048 427293802 443728179 460162556 591637572 640940703 690243834 854587604 887456358 920325112 1035365751 1183275144 1281881406 1380487668 1495528307 1709175208 1774912716 1922822109 2070731502 2563762812 2760975336 2991056614 3106097253 3549825432 3845644218 4141463004 4486584921 5127525624 5768466327 5982113228 6212194506 7691288436 8282926008 8973169842 11536932654 11964226456 12424389012 13459754763 15382576872 17946339684 23073865308 24848778024 26919509526 35892679368 40379264289 46147730616 53839019052 80758528578 107678038104 161517057156 323034114312