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345982032046 = 27171976510843
BaseRepresentation
bin1010000100011100010…
…00101101100010101110
31020002001002020021112001
411002032020231202232
521132032400011141
6422535243402514
733665520514660
oct5021610554256
91202032207461
10345982032046
11123803923582
125707882343a
132681a3286b1
1412a61da2530
158eee42ea31
hex508e22d8ae

345982032046 has 32 divisors (see below), whose sum is σ = 661053692160. Its totient is φ = 132210734976.

The previous prime is 345982032017. The next prime is 345982032049. The reversal of 345982032046 is 640230289543.

It is a super-2 number, since 2×3459820320462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345982031987 and 345982032005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345982032049) 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 15 ways as a sum of consecutive naturals, for example, 38250900 + ... + 38259943.

It is an arithmetic number, because the mean of its divisors is an integer number (20657927880).

Almost surely, 2345982032046 is an apocalyptic number.

345982032046 is a deficient number, since it is larger than the sum of its proper divisors (315071660114).

345982032046 is a wasteful number, since it uses less digits than its factorization.

345982032046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76510888.

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 345982032046 in words is "three hundred forty-five billion, nine hundred eighty-two million, thirty-two thousand, forty-six".

Divisors: 1 2 7 14 17 19 34 38 119 133 238 266 323 646 2261 4522 76510843 153021686 535575901 1071151802 1300684331 1453706017 2601368662 2907412034 9104790317 10175942119 18209580634 20351884238 24713002289 49426004578 172991016023 345982032046