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340145533312 = 2713263777241
BaseRepresentation
bin1001111001100100100…
…00001111000110000000
31012111222022211102102021
410330302100033012000
521033104224031222
6420132151131224
733401060220454
oct4746220170600
91174868742367
10340145533312
11121289316702
1255b0a073b14
13260ca0a7c50
141266ab94664
158cabd41ac7
hex4f3240f180

340145533312 has 64 divisors (see below), whose sum is σ = 732535040160. Its totient is φ = 156393123840.

The previous prime is 340145533297. The next prime is 340145533331. The reversal of 340145533312 is 213335541043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49012 + ... + 826252.

Almost surely, 2340145533312 is an apocalyptic number.

340145533312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340145533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366267520080).

340145533312 is an abundant number, since it is smaller than the sum of its proper divisors (392389506848).

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

340145533312 is a wasteful number, since it uses less digits than its factorization.

340145533312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777531 (or 777519 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 340145533312 in words is "three hundred forty billion, one hundred forty-five million, five hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 263 416 526 832 1052 1664 2104 3419 4208 6838 8416 13676 16832 27352 33664 54704 109408 218816 437632 777241 1554482 3108964 6217928 10104133 12435856 20208266 24871712 40416532 49743424 80833064 99486848 161666128 204414383 323332256 408828766 646664512 817657532 1293329024 1635315064 2657386979 3270630128 5314773958 6541260256 10629547916 13082520512 21259095832 26165041024 42518191664 85036383328 170072766656 340145533312