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344106704067 = 37374439531049
BaseRepresentation
bin1010000000111100101…
…10111001110011000011
31012220012101110202011020
411000132112321303003
521114212304012232
6422025212520523
733601166503320
oct5003626716303
91186171422136
10344106704067
11122a31299945
1256834780143
13265ab952979
1412924cbbb47
158e3e996e2c
hex501e5b9cc3

344106704067 has 64 divisors (see below), whose sum is σ = 540821836800. Its totient is φ = 190504065024.

The previous prime is 344106704063. The next prime is 344106704129. The reversal of 344106704067 is 760407601443.

It is not a de Polignac number, because 344106704067 - 22 = 344106704063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344106704063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328032559 + ... + 328033607.

It is an arithmetic number, because the mean of its divisors is an integer number (8450341200).

Almost surely, 2344106704067 is an apocalyptic number.

344106704067 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

344106704067 is a deficient number, since it is larger than the sum of its proper divisors (196715132733).

344106704067 is a wasteful number, since it uses less digits than its factorization.

344106704067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492.

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 344106704067 in words is "three hundred forty-four billion, one hundred six million, seven hundred four thousand, sixty-seven".

Divisors: 1 3 7 21 37 111 259 443 777 953 1049 1329 2859 3101 3147 6671 7343 9303 16391 20013 22029 35261 38813 49173 105783 114737 116439 246827 271691 344211 422179 464707 740481 815073 999697 1266537 1394121 2955253 2999091 3252949 6997879 8865759 9758847 15620623 17194159 20993637 36988789 46861869 51582477 109344361 110966367 120359113 258921523 328033083 361077339 442865771 776764569 1328597313 3100060397 9300181191 16386033527 49158100581 114702234689 344106704067