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3005434431 = 32333937159
BaseRepresentation
bin1011001100100011…
…0100101000111111
321202110020212222100
42303020310220333
522123342400211
61214120520143
7134322525336
oct26310645077
97673225870
103005434431
11130254240a
126ba620053
1338b867c8c
1420721cd1d
15128cb9156
hexb3234a3f

3005434431 has 6 divisors (see below), whose sum is σ = 4341183080. Its totient is φ = 2003622948.

The previous prime is 3005434423. The next prime is 3005434441. The reversal of 3005434431 is 1344345003.

It is not a de Polignac number, because 3005434431 - 23 = 3005434423 is a prime.

It is a super-2 number, since 2×30054344312 = 18065272238080587522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3005434395 and 3005434404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005434441) 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 5 ways as a sum of consecutive naturals, for example, 166968571 + ... + 166968588.

Almost surely, 23005434431 is an apocalyptic number.

3005434431 is a deficient number, since it is larger than the sum of its proper divisors (1335748649).

3005434431 is a wasteful number, since it uses less digits than its factorization.

3005434431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333937165 (or 333937162 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3005434431 is about 54821.8426450626. The cubic root of 3005434431 is about 1443.1199122922.

Adding to 3005434431 its reverse (1344345003), we get a palindrome (4349779434).

The spelling of 3005434431 in words is "three billion, five million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 333937159 1001811477 3005434431