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340193350032 = 24352121135979
BaseRepresentation
bin1001111001101010001…
…10101001000110010000
31012112002122210202121220
410330311012221012100
521033203444200112
6420141020045040
733402210523014
oct4746506510620
91175078722556
10340193350032
11121303306058
1255b22093780
1326106c7a673
1412673280544
158cb113998c
hex4f351a9190

340193350032 has 40 divisors (see below), whose sum is σ = 878856145440. Its totient is φ = 113394773760.

The previous prime is 340193350031. The next prime is 340193350073. The reversal of 340193350032 is 230053391043.

It is a junction number, because it is equal to n+sod(n) for n = 340193349975 and 340193350002.

It is not an unprimeable number, because it can be changed into a prime (340193350031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2433819 + ... + 2569797.

It is an arithmetic number, because the mean of its divisors is an integer number (21971403636).

Almost surely, 2340193350032 is an apocalyptic number.

It is an amenable number.

340193350032 is an abundant number, since it is smaller than the sum of its proper divisors (538662795408).

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

340193350032 is a wasteful number, since it uses less digits than its factorization.

340193350032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188111 (or 188105 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The spelling of 340193350032 in words is "three hundred forty billion, one hundred ninety-three million, three hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 52121 104242 135979 156363 208484 271958 312726 407937 416968 543916 625452 815874 833936 1087832 1250904 1631748 2175664 2501808 3263496 6526992 7087361459 14174722918 21262084377 28349445836 42524168754 56698891672 85048337508 113397783344 170096675016 340193350032