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341331320 = 235112109647
BaseRepresentation
bin10100010110000…
…100110101111000
3212210021102112202
4110112010311320
51144340100240
653511525332
711313161021
oct2426046570
9783242482
10341331320
11165744300
1296389848
135593c5c5
1433491c48
151ee75315
hex14584d78

341331320 has 96 divisors (see below), whose sum is σ = 853221600. Its totient is φ = 122791680.

The previous prime is 341331317. The next prime is 341331329. The reversal of 341331320 is 23133143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 341331292 and 341331301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341331329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527237 + ... + 527883.

It is an arithmetic number, because the mean of its divisors is an integer number (8887725).

Almost surely, 2341331320 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 341331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426610800).

341331320 is an abundant number, since it is smaller than the sum of its proper divisors (511890280).

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

341331320 is a wasteful number, since it uses less digits than its factorization.

341331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 341331320 is about 18475.1541265560. The cubic root of 341331320 is about 698.8629977171.

Adding to 341331320 its reverse (23133143), we get a palindrome (364464463).

It can be divided in two parts, 34133 and 1320, that added together give a palindrome (35453).

The spelling of 341331320 in words is "three hundred forty-one million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 121 218 220 242 436 440 484 545 605 647 872 968 1090 1199 1210 1294 2180 2398 2420 2588 3235 4360 4796 4840 5176 5995 6470 7117 9592 11990 12940 13189 14234 23980 25880 26378 28468 35585 47960 52756 56936 65945 70523 71170 78287 105512 131890 141046 142340 156574 263780 282092 284680 313148 352615 391435 527560 564184 626296 705230 775753 782870 1410460 1551506 1565740 2820920 3103012 3131480 3878765 6206024 7757530 8533283 15515060 17066566 31030120 34133132 42666415 68266264 85332830 170665660 341331320