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340512540208 = 2417471271311601
BaseRepresentation
bin1001111010010000010…
…00010000011000110000
31012112220220102022020021
410331020020100120300
521034332202241313
6420232421253224
733413134556431
oct4751010203060
91175826368207
10340512540208
111214574a7395
1255bb0b64214
13261581370a9
14126a380b488
158cce18978d
hex4f48210630

340512540208 has 160 divisors (see below), whose sum is σ = 724973027328. Its totient is φ = 154312704000.

The previous prime is 340512540149. The next prime is 340512540229. The reversal of 340512540208 is 802045215043.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212686608 + ... + 212688208.

Almost surely, 2340512540208 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 340512540208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362486513664).

340512540208 is an abundant number, since it is smaller than the sum of its proper divisors (384460487120).

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

340512540208 is a wasteful number, since it uses less digits than its factorization.

340512540208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 340512540208 in words is "three hundred forty billion, five hundred twelve million, five hundred forty thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 34 47 68 94 127 131 136 188 254 262 272 376 508 524 752 799 1016 1048 1598 1601 2032 2096 2159 2227 3196 3202 4318 4454 5969 6157 6392 6404 8636 8908 11938 12314 12784 12808 16637 17272 17816 23876 24628 25616 27217 33274 34544 35632 47752 49256 54434 66548 75247 95504 98512 101473 104669 108868 133096 150494 202946 203327 209338 209731 217736 266192 282829 300988 405892 406654 418676 419462 435472 565658 601976 781939 811784 813308 837352 838924 1131316 1203952 1279199 1563878 1623568 1626616 1674704 1677848 2262632 2558398 3127756 3253232 3355696 3456559 3565427 4525264 5116796 6255512 6913118 7130854 9556369 9857357 10233592 12511024 13292963 13826236 14261708 19112738 19714714 20467184 26585926 26635837 27652472 28523416 38225476 39429428 53171852 53271674 55304944 57046832 76450952 78858856 106343704 106543348 152901904 157717712 162458273 167575069 212687408 213086696 324916546 335150138 426173392 452809229 649833092 670300276 905618458 1251884339 1299666184 1340600552 1811236916 2503768678 2599332368 2681201104 3622473832 5007537356 7244947664 10015074712 20030149424 21282033763 42564067526 85128135052 170256270104 340512540208