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3004132140 = 2232516689623
BaseRepresentation
bin1011001100001111…
…0110101100101100
321202100210201120100
42303003312230230
522123024212030
61214032551100
7134305462512
oct26303665454
97670721510
103004132140
111301832a39
126ba0b2490
1338b5002a9
14206da04b2
15128b0d360
hexb30f6b2c

3004132140 has 36 divisors (see below), whose sum is σ = 9112534704. Its totient is φ = 801101856.

The previous prime is 3004132133. The next prime is 3004132141. The reversal of 3004132140 is 412314003.

3004132140 is a `hidden beast` number, since 300 + 4 + 1 + 321 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3004132141) 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 11 ways as a sum of consecutive naturals, for example, 8344632 + ... + 8344991.

It is an arithmetic number, because the mean of its divisors is an integer number (253125964).

Almost surely, 23004132140 is an apocalyptic number.

3004132140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3004132140 is an abundant number, since it is smaller than the sum of its proper divisors (6108402564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3004132140 is a wasteful number, since it uses less digits than its factorization.

3004132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16689638 (or 16689633 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3004132140 is about 54809.9638751933. The cubic root of 3004132140 is about 1442.9114417552.

Adding to 3004132140 its reverse (412314003), we get a palindrome (3416446143).

It can be divided in two parts, 30041321 and 40, that added together give a square (30041361 = 54812).

The spelling of 3004132140 in words is "three billion, four million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 16689623 33379246 50068869 66758492 83448115 100137738 150206607 166896230 200275476 250344345 300413214 333792460 500688690 600826428 751033035 1001377380 1502066070 3004132140