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434340333034340 = 22589915726647529
BaseRepresentation
bin110001011000001111011110…
…1010000110001101101100100
32002221212112022121022001000212
41202300132331100301231210
5423412213000224044330
64135433105554154552
7160326024232364615
oct14260367520615544
92087775277261025
10434340333034340
11116437778850247
124086a096882a58
131584816b65c805
147938281975c0c
1535332c73e0295
hex18b07bd431b64

434340333034340 has 48 divisors (see below), whose sum is σ = 922463941417200. Its totient is φ = 171765275523072.

The previous prime is 434340333034319. The next prime is 434340333034483. The reversal of 434340333034340 is 43430333043434.

It can be written as a sum of positive squares in 8 ways, for example, as 100740044120356 + 333600288913984 = 10036934^2 + 18264728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2975696 + ... + 29623224.

It is an arithmetic number, because the mean of its divisors is an integer number (19217998779525).

Almost surely, 2434340333034340 is an apocalyptic number.

It is an amenable number.

434340333034340 is an abundant number, since it is smaller than the sum of its proper divisors (488123608382860).

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

434340333034340 is a wasteful number, since it uses less digits than its factorization.

434340333034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26656784 (or 26656782 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 41.

Adding to 434340333034340 its reverse (43430333043434), we get a palindrome (477770666077774).

The spelling of 434340333034340 in words is "four hundred thirty-four trillion, three hundred forty billion, three hundred thirty-three million, thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 9157 18314 36628 45785 91570 183140 814973 1629946 3259892 4074865 8149730 16299460 26647529 53295058 106590116 133237645 266475290 532950580 2371630081 4743260162 9486520324 11858150405 23716300810 47432601620 244011423053 488022846106 976045692212 1220057115265 2440114230530 4880228461060 21717016651717 43434033303434 86868066606868 108585083258585 217170166517170 434340333034340