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3542122341 = 323153239543
BaseRepresentation
bin1101001100100000…
…0111111101100101
3100010212010110101100
43103020013331211
524223240403331
61343251550313
7153530354202
oct32310077545
910125113340
103542122341
111558487a3a
1282a2bb399
13445ac71a4
14258604ca9
1515ae7cae6
hexd3207f65

3542122341 has 24 divisors (see below), whose sum is σ = 5381116416. Its totient is φ = 2242113120.

The previous prime is 3542122333. The next prime is 3542122349. The reversal of 3542122341 is 1432212453.

3542122341 is a `hidden beast` number, since 3 + 5 + 421 + 2 + 234 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3542122333) and next prime (3542122349).

It is not a de Polignac number, because 3542122341 - 23 = 3542122333 is a prime.

It is a super-3 number, since 3×35421223413 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542122349) 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 23 ways as a sum of consecutive naturals, for example, 104985 + ... + 134558.

It is an arithmetic number, because the mean of its divisors is an integer number (224213184).

Almost surely, 23542122341 is an apocalyptic number.

3542122341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3542122341 is a deficient number, since it is larger than the sum of its proper divisors (1838994075).

3542122341 is a wasteful number, since it uses less digits than its factorization.

3542122341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239633 (or 239630 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3542122341 is about 59515.7318782186. The cubic root of 3542122341 is about 1524.3610819559.

Adding to 3542122341 its reverse (1432212453), we get a palindrome (4974334794).

The spelling of 3542122341 in words is "three billion, five hundred forty-two million, one hundred twenty-two thousand, three hundred forty-one".

Divisors: 1 3 9 31 53 93 159 279 477 1643 4929 14787 239543 718629 2155887 7425833 12695779 22277499 38087337 66832497 114262011 393569149 1180707447 3542122341