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3004034131 = 738758117
BaseRepresentation
bin1011001100001101…
…1110110001010011
321202100121202010101
42303003132301103
522123013043011
61214030513231
7134304604000
oct26303366123
97670552111
103004034131
11130177633a
126ba065817
1338b4977b7
14206d768a7
15128ade2c1
hexb30dec53

3004034131 has 8 divisors (see below), whose sum is σ = 3503247200. Its totient is φ = 2574886104.

The previous prime is 3004034101. The next prime is 3004034167. The reversal of 3004034131 is 1314304003.

It is not a de Polignac number, because 3004034131 - 27 = 3004034003 is a prime.

It is a super-2 number, since 2×30040341312 = 18048442120425850322, 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 = 3004034099 and 3004034108.

It is not an unprimeable number, because it can be changed into a prime (3004034101) 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 7 ways as a sum of consecutive naturals, for example, 4378716 + ... + 4379401.

It is an arithmetic number, because the mean of its divisors is an integer number (437905900).

Almost surely, 23004034131 is an apocalyptic number.

3004034131 is a deficient number, since it is larger than the sum of its proper divisors (499213069).

3004034131 is an frugal number, since it uses more digits than its factorization.

3004034131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758138 (or 8758124 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3004034131 is about 54809.0697877641. The cubic root of 3004034131 is about 1442.8957500525.

Adding to 3004034131 its reverse (1314304003), we get a palindrome (4318338134).

The spelling of 3004034131 in words is "three billion, four million, thirty-four thousand, one hundred thirty-one".

Divisors: 1 7 49 343 8758117 61306819 429147733 3004034131