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340744381875 = 3254236074339
BaseRepresentation
bin1001111010101011111…
…00101010010110110011
31012120112001200002012200
410331111330222112303
521040321030210000
6420311422354243
733421651312602
oct4752574522663
91176461602180
10340744381875
11121566358477
125605672b983
132619418c701
14126c651ba39
158ce46d3500
hex4f55f2a5b3

340744381875 has 120 divisors (see below), whose sum is σ = 642982179840. Its totient is φ = 173502648000.

The previous prime is 340744381837. The next prime is 340744381877. The reversal of 340744381875 is 578183447043.

340744381875 is a `hidden beast` number, since 3 + 40 + 7 + 443 + 81 + 87 + 5 = 666.

It is not a de Polignac number, because 340744381875 - 26 = 340744381811 is a prime.

It is a super-2 number, since 2×3407443818752 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340744381877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 78528456 + ... + 78532794.

It is an arithmetic number, because the mean of its divisors is an integer number (5358184832).

Almost surely, 2340744381875 is an apocalyptic number.

340744381875 is a deficient number, since it is larger than the sum of its proper divisors (302237797965).

340744381875 is a wasteful number, since it uses less digits than its factorization.

340744381875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 340744381875 in words is "three hundred forty billion, seven hundred forty-four million, three hundred eighty-one thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 125 207 225 345 375 575 607 625 1035 1125 1725 1821 1875 2875 3035 4339 5175 5463 5625 8625 9105 13017 13961 14375 15175 21695 25875 27315 39051 41883 43125 45525 65085 69805 75875 99797 108475 125649 129375 136575 195255 209415 227625 299391 325425 349025 379375 498985 542375 628245 682875 898173 976275 1047075 1138125 1496955 1627125 1745125 2494925 2633773 2711875 3141225 3414375 4490865 4881375 5235375 7484775 7901319 8135625 8725625 12474625 13168865 15706125 22454325 23703957 24406875 26176875 37423875 39506595 60576779 62373125 65844325 78530625 112271625 118519785 181730337 187119375 197532975 302883895 329221625 545191011 561358125 592598925 908651685 987664875 1514419475 1646108125 2725955055 2962994625 4543258425 4938324375 7572097375 13629775275 14814973125 22716292125 37860486875 68148876375 113581460625 340744381875