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341785221376 = 286125992
BaseRepresentation
bin1001111100100111111…
…11001001100100000000
31012200012121012012120211
410332103333021210000
521044434004041001
6421003003243504
733456520306234
oct4762377114400
91180177165524
10341785221376
11121a4a935605
12562a7219594
13262cb9c8581
141278485a5c4
158d55c80351
hex4f93fc9900

341785221376 has 81 divisors (see below), whose sum is σ = 694762745313. Its totient is φ = 167810472960.

The previous prime is 341785221373. The next prime is 341785221383. The reversal of 341785221376 is 673122587143.

The square root of 341785221376 is 584624.

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., 11114219776 + 330671001600 = 105424^2 + 575040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (341785221373) 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 8 ways as a sum of consecutive naturals, for example, 570592725 + ... + 570593323.

Almost surely, 2341785221376 is an apocalyptic number.

341785221376 is the 584624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341785221376

341785221376 is an abundant number, since it is smaller than the sum of its proper divisors (352977523937).

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

341785221376 is an frugal number, since it uses more digits than its factorization.

341785221376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 662 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

Multiplying 341785221376 by its sum of digits (49), we get a square (16747475847424 = 40923682).

The spelling of 341785221376 in words is "three hundred forty-one billion, seven hundred eighty-five million, two hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 599 976 1198 1952 2396 3721 3904 4792 7442 7808 9584 14884 15616 19168 29768 36539 38336 59536 73078 76672 119072 146156 153344 238144 292312 358801 476288 584624 717602 952576 1169248 1435204 2228879 2338496 2870408 4457758 4676992 5740816 8915516 9353984 11481632 17831032 21886861 22963264 35662064 43773722 45926528 71324128 87547444 91853056 142648256 175094888 285296512 350189776 570593024 700379552 1335098521 1400759104 2670197042 2801518208 5340394084 5603036416 10680788168 21361576336 42723152672 85446305344 170892610688 341785221376