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342240041 = 11132473917
BaseRepresentation
bin10100011001100…
…010101100101001
3212211222121002002
4110121202230221
51200103140131
653543220345
711323664243
oct2431425451
9784877062
10342240041
11166205010
12967476b5
1355b9a100
143364b093
15200a46cb
hex14662b29

342240041 has 24 divisors (see below), whose sum is σ = 412988544. Its totient is φ = 281012160.

The previous prime is 342240029. The next prime is 342240043. The reversal of 342240041 is 140042243.

It is not a de Polignac number, because 342240041 - 214 = 342223657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 342239995 and 342240022.

It is not an unprimeable number, because it can be changed into a prime (342240043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85415 + ... + 89331.

It is an arithmetic number, because the mean of its divisors is an integer number (17207856).

Almost surely, 2342240041 is an apocalyptic number.

It is an amenable number.

342240041 is a deficient number, since it is larger than the sum of its proper divisors (70748503).

342240041 is a wasteful number, since it uses less digits than its factorization.

342240041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 342240041 is about 18499.7308358797. The cubic root of 342240041 is about 699.4826388075.

Adding to 342240041 its reverse (140042243), we get a palindrome (482282284).

The spelling of 342240041 in words is "three hundred forty-two million, two hundred forty thousand, forty-one".

Divisors: 1 11 13 47 143 169 517 611 1859 3917 6721 7943 43087 50921 87373 184099 560131 661973 2025089 2393287 7281703 26326157 31112731 342240041