Search a number
-
+
340105520304 = 24341122168819
BaseRepresentation
bin1001111001011111101…
…11100110010010110000
31012111212112112112220000
410330233313212102300
521033014003122204
6420124201350000
733400063136454
oct4745767462260
91174775475800
10340105520304
11121268777300
1255ab8798300
13260c1a08504
141266573a664
158ca858b039
hex4f2fde64b0

340105520304 has 150 divisors (see below), whose sum is σ = 1081987428060. Its totient is φ = 103062231360.

The previous prime is 340105520303. The next prime is 340105520341. The reversal of 340105520304 is 403025501043.

340105520304 is a `hidden beast` number, since 3 + 4 + 0 + 105 + 520 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (340105520303) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 927594 + ... + 1241225.

Almost surely, 2340105520304 is an apocalyptic number.

It is an amenable number.

340105520304 is an abundant number, since it is smaller than the sum of its proper divisors (741881907756).

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

340105520304 is a wasteful number, since it uses less digits than its factorization.

340105520304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168861 (or 2168835 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 340105520304 in words is "three hundred forty billion, one hundred five million, five hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 726 792 891 968 1089 1188 1296 1452 1584 1782 1936 2178 2376 2904 3267 3564 4356 4752 5808 6534 7128 8712 9801 13068 14256 17424 19602 26136 39204 52272 78408 156816 2168819 4337638 6506457 8675276 13012914 17350552 19519371 23857009 26025828 34701104 39038742 47714018 52051656 58558113 71571027 78077484 95428036 104103312 117116226 143142054 156154968 175674339 190856072 214713081 234232452 262427099 286284108 312309936 351348678 381712144 429426162 468464904 524854198 572568216 644139243 702697356 787281297 858852324 936929808 1049708396 1145136432 1288278486 1405394712 1574562594 1717704648 1932417729 2099416792 2361843891 2576556972 2810789424 3149125188 3435409296 3864835458 4198833584 4723687782 5153113944 6298250376 7085531673 7729670916 9447375564 10306227888 12596500752 14171063346 15459341832 18894751128 21256595019 28342126692 30918683664 37789502256 42513190038 56684253384 85026380076 113368506768 170052760152 340105520304