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342331101 = 32722413221
BaseRepresentation
bin10100011001111…
…000111011011101
3212212011012222200
4110121320323131
51200114043401
653545202113
711324523600
oct2431707335
9785135880
10342331101
11166267472
1296790339
1355bcc6a8
1433672337
15200c1686
hex14678edd

342331101 has 36 divisors (see below), whose sum is σ = 577775484. Its totient is φ = 194745600.

The previous prime is 342331097. The next prime is 342331163. The reversal of 342331101 is 101133243.

It can be written as a sum of positive squares in 2 ways, for example, as 260790201 + 81540900 = 16149^2 + 9030^2 .

It is not a de Polignac number, because 342331101 - 22 = 342331097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342331001) 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 35 ways as a sum of consecutive naturals, for example, 104671 + ... + 107891.

It is an arithmetic number, because the mean of its divisors is an integer number (16049319).

Almost surely, 2342331101 is an apocalyptic number.

It is an amenable number.

342331101 is a deficient number, since it is larger than the sum of its proper divisors (235444383).

342331101 is a wasteful number, since it uses less digits than its factorization.

342331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 342331101 is about 18502.1917890827. The cubic root of 342331101 is about 699.5446705524.

Adding to 342331101 its reverse (101133243), we get a palindrome (443464344).

The spelling of 342331101 in words is "three hundred forty-two million, three hundred thirty-one thousand, one hundred one".

Divisors: 1 3 7 9 21 49 63 147 241 441 723 1687 2169 3221 5061 9663 11809 15183 22547 28989 35427 67641 106281 157829 202923 473487 776261 1420461 2328783 5433827 6986349 16301481 38036789 48904443 114110367 342331101