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341642014340 = 225113179634103
BaseRepresentation
bin1001111100010110111…
…00110110111010000100
31012122211121201112110112
410332023130312322010
521044140323424330
6420540450012152
733453131131064
oct4761334667204
91178747645415
10341642014340
11121987012a90
1256267277058
13262a8137593
141276d81d3a4
158d483e3795
hex4f8b736e84

341642014340 has 96 divisors (see below), whose sum is σ = 818146344960. Its totient is φ = 118703894400.

The previous prime is 341642014333. The next prime is 341642014349. The reversal of 341642014340 is 43410246143.

It is a junction number, because it is equal to n+sod(n) for n = 341642014297 and 341642014306.

It is not an unprimeable number, because it can be changed into a prime (341642014349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221729 + ... + 855831.

It is an arithmetic number, because the mean of its divisors is an integer number (8522357760).

Almost surely, 2341642014340 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 341642014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409073172480).

341642014340 is an abundant number, since it is smaller than the sum of its proper divisors (476504330620).

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

341642014340 is a wasteful number, since it uses less digits than its factorization.

341642014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634233 (or 634231 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 341642014340 in words is "three hundred forty-one billion, six hundred forty-two million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 79 110 124 155 158 220 310 316 341 395 620 682 790 869 1364 1580 1705 1738 2449 3410 3476 4345 4898 6820 8690 9796 12245 17380 24490 26939 48980 53878 107756 134695 269390 538780 634103 1268206 2536412 3170515 6341030 6975133 12682060 13950266 19657193 27900532 34875665 39314386 50094137 69751330 78628772 98285965 100188274 139502660 196571930 200376548 216229123 250470685 393143860 432458246 500941370 551035507 864916492 1001882740 1081145615 1102071014 1552918247 2162291230 2204142028 2755177535 3105836494 4324582460 5510355070 6211672988 7764591235 11020710140 15529182470 17082100717 31058364940 34164201434 68328402868 85410503585 170821007170 341642014340