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340213200340 = 2251321031079133
BaseRepresentation
bin1001111001101100100…
…10010111010111010100
31012112011001011021010111
410330312102113113110
521033224034402330
6420143005332404
733402541326436
oct4746622272724
91175131137114
10340213200340
11121313533972
1255b28867104
132610b10a900
1412675b6a656
158cb2c5b32a
hex4f364975d4

340213200340 has 144 divisors (see below), whose sum is σ = 788530474368. Its totient is φ = 123221509632.

The previous prime is 340213200331. The next prime is 340213200367. The reversal of 340213200340 is 43002312043.

It is a happy number.

It is a super-2 number, since 2×3402132003402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37246414 + ... + 37255546.

It is an arithmetic number, because the mean of its divisors is an integer number (5475906072).

Almost surely, 2340213200340 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 340213200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394265237184).

340213200340 is an abundant number, since it is smaller than the sum of its proper divisors (448317274028).

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

340213200340 is a wasteful number, since it uses less digits than its factorization.

340213200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9363 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 340213200340 its reverse (43002312043), we get a palindrome (383215512383).

The spelling of 340213200340 in words is "three hundred forty billion, two hundred thirteen million, two hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 107 130 169 206 214 260 338 412 428 515 535 676 845 1030 1070 1339 1391 1690 2060 2140 2678 2782 3380 5356 5564 6695 6955 9133 11021 13390 13910 17407 18083 18266 22042 26780 27820 34814 36166 36532 44084 45665 55105 69628 72332 87035 90415 91330 110210 118729 143273 174070 180830 182660 220420 237458 286546 348140 361660 474916 573092 593645 716365 940699 977231 1187290 1432730 1543477 1862549 1881398 1954462 2374580 2865460 3086954 3725098 3762796 3908924 4703495 4886155 6173908 7450196 7717385 9312745 9406990 9772310 12229087 12704003 15434770 18625490 18813980 19544620 24458174 25408006 30869540 37250980 48916348 50816012 61145435 63520015 100654793 122290870 127040030 158978131 165152039 201309586 244581740 254080060 317956262 330304078 402619172 503273965 635912524 660608156 794890655 825760195 1006547930 1308512309 1589781310 1651520390 2013095860 2617024618 3179562620 3303040780 5234049236 6542561545 13085123090 17010660017 26170246180 34021320034 68042640068 85053300085 170106600170 340213200340