Search a number
-
+
341143432300 = 2252114722732903
BaseRepresentation
bin1001111011011011011…
…10111010110001101100
31012121112212112221111001
410331231232322301230
521042130204313200
6420415155410044
733434565221116
oct4755556726154
91177485487431
10341143432300
11121750634a10
12561482b3924
1326228a5aa18
14127235163b6
158d1975a76a
hex4f6dbbac6c

341143432300 has 144 divisors (see below), whose sum is σ = 825409170432. Its totient is φ = 121317529600.

The previous prime is 341143432271. The next prime is 341143432309. The reversal of 341143432300 is 3234341143.

It is not an unprimeable number, because it can be changed into a prime (341143432309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117512649 + ... + 117515551.

It is an arithmetic number, because the mean of its divisors is an integer number (5732008128).

Almost surely, 2341143432300 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 341143432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412704585216).

341143432300 is an abundant number, since it is smaller than the sum of its proper divisors (484265738132).

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

341143432300 is a wasteful number, since it uses less digits than its factorization.

341143432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 341143432300 its reverse (3234341143), we get a palindrome (344377773443).

The spelling of 341143432300 in words is "three hundred forty-one billion, one hundred forty-three million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2273 2350 2585 2903 4546 4700 5170 5806 9092 10340 11365 11612 12925 14515 22730 25003 25850 29030 31933 45460 50006 51700 56825 58060 63866 72575 100012 106831 113650 125015 127732 136441 145150 159665 213662 227300 250030 272882 290300 319330 427324 500060 534155 545764 625075 638660 682205 798325 1068310 1175141 1250150 1364410 1500851 1596650 2136620 2350282 2500300 2670775 2728820 3001702 3193300 3411025 4700564 5341550 5875705 6003404 6598519 6822050 7504255 10683100 11751410 13197038 13644100 15008510 23502820 26394076 29378525 30017020 32992595 37521275 58757050 65985190 72583709 75042550 117514100 131970380 145167418 150085100 164962975 290334836 310130393 329925950 362918545 620260786 659851900 725837090 1240521572 1451674180 1550651965 1814592725 3101303930 3411434323 3629185450 6202607860 6822868646 7258370900 7753259825 13645737292 15506519650 17057171615 31013039300 34114343230 68228686460 85285858075 170571716150 341143432300