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341344240512 = 27311459717579
BaseRepresentation
bin1001111011110011011…
…00111100001110000000
31012122001212102001120020
410331321230330032000
521043033111144022
6420451131413440
733442554112602
oct4757154741600
91178055361506
10341344240512
11121843a1a110
12561a35b4280
132625b538b52
1412742069172
158d2c1c435c
hex4f79b3c380

341344240512 has 128 divisors (see below), whose sum is σ = 989393961600. Its totient is φ = 103409264640.

The previous prime is 341344240511. The next prime is 341344240561. The reversal of 341344240512 is 215042443143.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341344240511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19408939 + ... + 19426517.

It is an arithmetic number, because the mean of its divisors is an integer number (7729640325).

Almost surely, 2341344240512 is an apocalyptic number.

341344240512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341344240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494696980800).

341344240512 is an abundant number, since it is smaller than the sum of its proper divisors (648049721088).

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

341344240512 is a wasteful number, since it uses less digits than its factorization.

341344240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22204 (or 22192 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 341344240512 its reverse (215042443143), we get a palindrome (556386683655).

The spelling of 341344240512 in words is "three hundred forty-one billion, three hundred forty-four million, two hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 4597 9194 13791 17579 18388 27582 35158 36776 50567 52737 55164 70316 73552 101134 105474 110328 140632 147104 151701 193369 202268 210948 220656 281264 294208 303402 386738 404536 421896 441312 562528 580107 588416 606804 773476 809072 843792 882624 1125056 1160214 1213608 1546952 1618144 1687584 1765248 2250112 2320428 2427216 3093904 3236288 3375168 4640856 4854432 6187808 6472576 6750336 9281712 9708864 12375616 18563424 19417728 24751232 37126848 74253696 80810663 161621326 242431989 323242652 484863978 646485304 888917293 969727956 1292970608 1777834586 1939455912 2585941216 2666751879 3555669172 3878911824 5171882432 5333503758 7111338344 7757823648 10343764864 10667007516 14222676688 15515647296 21334015032 28445353376 31031294592 42668030064 56890706752 85336060128 113781413504 170672120256 341344240512