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341214631280 = 245416113912269
BaseRepresentation
bin1001111011100011111…
…10100001010101110000
31012121201211112020010022
410331301332201111300
521042301421200110
6420430221423012
733436421340245
oct4756176412560
91177654466108
10341214631280
11121787844846
125616810aa68
132623a7291b3
141272cb6b5cc
158d20b21755
hex4f71fa1570

341214631280 has 160 divisors (see below), whose sum is σ = 832006123200. Its totient is φ = 130021171200.

The previous prime is 341214631279. The next prime is 341214631343. The reversal of 341214631280 is 82136412143.

It is a self number, because there is not a number n which added to its sum of digits gives 341214631280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27804986 + ... + 27817254.

It is an arithmetic number, because the mean of its divisors is an integer number (5200038270).

Almost surely, 2341214631280 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 341214631280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416003061600).

341214631280 is an abundant number, since it is smaller than the sum of its proper divisors (490791491920).

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

341214631280 is a wasteful number, since it uses less digits than its factorization.

341214631280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523 (or 12517 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 341214631280 in words is "three hundred forty-one billion, two hundred fourteen million, six hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 61 80 82 122 139 164 205 244 278 305 328 410 488 556 610 656 695 820 976 1112 1220 1390 1640 2224 2440 2501 2780 3280 4880 5002 5560 5699 8479 10004 11120 11398 12269 12505 16958 20008 22796 24538 25010 28495 33916 40016 42395 45592 49076 50020 56990 61345 67832 84790 91184 98152 100040 113980 122690 135664 169580 196304 200080 227960 245380 339160 347639 455920 490760 503029 678320 695278 748409 981520 1006058 1390556 1496818 1705391 1738195 2012116 2515145 2781112 2993636 3410782 3476390 3742045 4024232 5030290 5562224 5987272 6821564 6952780 7484090 8048464 8526955 10060580 11974544 13643128 13905560 14968180 17053910 20121160 27286256 27811120 29936360 30684769 34107820 40242320 59872720 61369538 68215640 69921031 104028851 122739076 136431280 139842062 153423845 208057702 245478152 279684124 306847690 349605155 416115404 490956304 520144255 559368248 613695380 699210310 832230808 1040288510 1118736496 1227390760 1398420620 1664461616 2080577020 2454781520 2796841240 4161154040 4265182891 5593682480 8322308080 8530365782 17060731564 21325914455 34121463128 42651828910 68242926256 85303657820 170607315640 341214631280