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3542332031 = 71092191223
BaseRepresentation
bin1101001100100011…
…1011001001111111
3100010212112010000122
43103020323021333
524223314111111
61343300245155
7153532216430
oct32310731177
910125463018
103542332031
111558610537
1282a3a07bb
13445b6b774
1425865b487
1515aebecdb
hexd323b27f

3542332031 has 24 divisors (see below), whose sum is σ = 4125671424. Its totient is φ = 2979257760.

The previous prime is 3542331979. The next prime is 3542332061. The reversal of 3542332031 is 1302332453.

It is a happy number.

It is not a de Polignac number, because 3542332031 - 26 = 3542331967 is a prime.

It is a super-3 number, since 3×35423320313 (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 (3542332061) 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 23 ways as a sum of consecutive naturals, for example, 15884786 + ... + 15885008.

It is an arithmetic number, because the mean of its divisors is an integer number (171902976).

Almost surely, 23542332031 is an apocalyptic number.

3542332031 is a deficient number, since it is larger than the sum of its proper divisors (583339393).

3542332031 is a wasteful number, since it uses less digits than its factorization.

3542332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 3542332031 is about 59517.4934872093. The cubic root of 3542332031 is about 1524.3911615652.

Adding to 3542332031 its reverse (1302332453), we get a palindrome (4844664484).

The spelling of 3542332031 in words is "three billion, five hundred forty-two million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 7 109 191 223 763 1337 1561 11881 20819 24307 42593 83167 145733 170149 298151 2269271 2649463 4642637 15884897 18546241 32498459 506047433 3542332031