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341730307345 = 57217415693517
BaseRepresentation
bin1001111100100001011…
…01101010110100010001
31012200001202212021200211
410332100231222310101
521044330424313340
6420553322244121
733455252454100
oct4762055526421
91180052767624
10341730307345
11121a21938909
1256290956641
13262c050c56b
141277b444037
158d510345ea
hex4f90b6ad11

341730307345 has 96 divisors (see below), whose sum is σ = 518463983520. Its totient is φ = 214726901760.

The previous prime is 341730307337. The next prime is 341730307349. The reversal of 341730307345 is 543703037143.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 75772471824 + 265957835521 = 275268^2 + 515711^2 .

It is not a de Polignac number, because 341730307345 - 23 = 341730307337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 341730307298 and 341730307307.

It is not an unprimeable number, because it can be changed into a prime (341730307349) 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 95 ways as a sum of consecutive naturals, for example, 97163527 + ... + 97167043.

It is an arithmetic number, because the mean of its divisors is an integer number (5400666495).

Almost surely, 2341730307345 is an apocalyptic number.

341730307345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

341730307345 is a deficient number, since it is larger than the sum of its proper divisors (176733676175).

341730307345 is a wasteful number, since it uses less digits than its factorization.

341730307345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 40.

The spelling of 341730307345 in words is "three hundred forty-one billion, seven hundred thirty million, three hundred seven thousand, three hundred forty-five".

Divisors: 1 5 7 17 35 41 49 85 119 205 245 287 569 595 697 833 1435 2009 2845 3485 3517 3983 4165 4879 9673 10045 17585 19915 23329 24395 24619 27881 34153 48365 59789 67711 116645 123095 139405 144197 163303 170765 172333 298945 338555 396593 418523 473977 720985 816515 861665 1009379 1143121 1982965 2001173 2092615 2369885 2451349 2776151 2929661 5046895 5715605 7065653 10005865 12256745 13880755 14008211 14648305 17159443 19433057 34019941 35328265 70041055 82048093 85797215 97165285 98057477 120116101 170099705 238139587 410240465 490287385 574336651 600580505 1190697935 1394817581 1666977109 2871683255 4020356557 6974087905 8334885545 9763723067 20101782785 48818615335 68346061469 341730307345