Search a number
-
+
339250332304 = 241322324872
BaseRepresentation
bin1001110111111001110…
…01010100001010010000
31012102122221100111111101
410323330321110022100
521024241041113204
6415503251554144
733336640150132
oct4737471241220
91172587314441
10339250332304
11120969a71964
12558ba2bb954
1325cb67a1a00
14125c3d27052
158c58461ea4
hex4efce54290

339250332304 has 135 divisors (see below), whose sum is σ = 745570173033. Its totient is φ = 149461842816.

The previous prime is 339250332299. The next prime is 339250332307. The reversal of 339250332304 is 403233052933.

The square root of 339250332304 is 582452.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50184960400 + 289065371904 = 224020^2 + 537648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (339250332307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 696612349 + ... + 696612835.

Almost surely, 2339250332304 is an apocalyptic number.

339250332304 is the 582452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339250332304

339250332304 is an abundant number, since it is smaller than the sum of its proper divisors (406319840729).

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

339250332304 is an equidigital number, since it uses as much as digits as its factorization.

339250332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 37.

The spelling of 339250332304 in words is "three hundred thirty-nine billion, two hundred fifty million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 184 208 299 338 368 487 529 598 676 974 1058 1196 1352 1948 2116 2392 2704 3887 3896 4232 4784 6331 6877 7774 7792 8464 11201 12662 13754 15548 22402 25324 27508 31096 44804 50648 55016 62192 82303 89401 89608 101296 110032 145613 164606 178802 179216 237169 257623 291226 329212 357604 474338 515246 582452 658424 715208 948676 1030492 1164904 1316848 1430416 1892969 1897352 2060984 2329808 3083197 3349099 3785938 3794704 4121968 5454887 6166394 6698198 7571876 10909774 12332788 13396396 15143752 21819548 24665576 26792792 30287504 40081561 43538287 43639096 49331152 53585584 70913531 80163122 87076574 87278192 125462401 141827062 160326244 174153148 250924802 283654124 320652488 348306296 501849604 567308248 641304976 696612592 921875903 1003699208 1134616496 1631011213 1843751806 2007398416 3262022426 3687503612 6524044852 7375007224 13048089704 14750014448 21203145769 26096179408 42406291538 84812583076 169625166152 339250332304