Search a number
-
+
340531546024020 = 2235133114083190489
BaseRepresentation
bin100110101101101100010110…
…1110101011110100001010100
31122122201111102221111101001010
41031123120231311132201110
5324113232101240232040
63204130011012332220
7131504410106304621
oct11533305565364124
91578644387441033
10340531546024020
119955a68810081a
1232239365914070
1311801caa59a140
146013b59a23348
1529580188c3e80
hex135b62dd5e854

340531546024020 has 96 divisors (see below), whose sum is σ = 1059957249039360. Its totient is φ = 81119177210880.

The previous prime is 340531546023983. The next prime is 340531546024057. The reversal of 340531546024020 is 20420645135043.

It is an interprime number because it is at equal distance from previous prime (340531546023983) and next prime (340531546024057).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 340531546024020.

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, 7041571065 + ... + 7041619424.

It is an arithmetic number, because the mean of its divisors is an integer number (11041221344160).

Almost surely, 2340531546024020 is an apocalyptic number.

340531546024020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340531546024020 is an abundant number, since it is smaller than the sum of its proper divisors (719425703015340).

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

340531546024020 is a wasteful number, since it uses less digits than its factorization.

340531546024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14083190545 (or 14083190543 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 340531546024020 in words is "three hundred forty trillion, five hundred thirty-one billion, five hundred forty-six million, twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 8060 12090 24180 14083190489 28166380978 42249571467 56332761956 70415952445 84499142934 140831904890 168998285868 183081476357 211247857335 281663809780 366162952714 422495714670 436578905159 549244429071 732325905428 844991429340 873157810318 915407381785 1098488858142 1309736715477 1746315620636 1830814763570 2182894525795 2196977716284 2619473430954 2746222145355 3661629527140 4365789051590 5238946861908 5492444290710 5675525767067 6548683577385 8731578103180 10984888581420 11351051534134 13097367154770 17026577301201 22702103068268 26194734309540 28377628835335 34053154602402 56755257670670 68106309204804 85132886506005 113510515341340 170265773012010 340531546024020