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340232404233312 = 25329461124866559
BaseRepresentation
bin100110101011100001000011…
…1100110000110110001100000
31122121122220022020102220010100
41031113002013212012301200
5324043331430440431222
63203340335253502400
7131443660102114203
oct11527020746066140
91577586266386110
10340232404233312
11994548303928a8
12321ab39b941a00
13117aca164c22a6
14600349c87d93a
15295035b7394ac
hex1357087986c60

340232404233312 has 72 divisors (see below), whose sum is σ = 967638172999680. Its totient is φ = 113398813313280.

The previous prime is 340232404233299. The next prime is 340232404233313. The reversal of 340232404233312 is 213332404232043.

340232404233312 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 3 + 2 + 404 + 233 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340232404233313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59708512 + ... + 65158047.

It is an arithmetic number, because the mean of its divisors is an integer number (13439419069440).

Almost surely, 2340232404233312 is an apocalyptic number.

340232404233312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340232404233312 is an abundant number, since it is smaller than the sum of its proper divisors (627405768766368).

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

340232404233312 is a wasteful number, since it uses less digits than its factorization.

340232404233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124876036 (or 124876025 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 340232404233312 its reverse (213332404232043), we get a palindrome (553564808465355).

The spelling of 340232404233312 in words is "three hundred forty trillion, two hundred thirty-two billion, four hundred four million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9461 18922 28383 37844 56766 75688 85149 113532 151376 170298 227064 302752 340596 454128 681192 908256 1362384 2724768 124866559 249733118 374599677 499466236 749199354 998932472 1123799031 1498398708 1997864944 2247598062 2996797416 3995729888 4495196124 5993594832 8990392248 11987189664 17980784496 35961568992 1181362514699 2362725029398 3544087544097 4725450058796 7088175088194 9450900117592 10632262632291 14176350176388 18901800235184 21264525264582 28352700352776 37803600470368 42529050529164 56705400705552 85058101058328 113410801411104 170116202116656 340232404233312