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3004539984 = 2432197105913
BaseRepresentation
bin1011001100010101…
…1010010001010000
321202101120110000200
42303011122101100
522123130234414
61214045415200
7134312111535
oct26305322120
97671513020
103004539984
111301a913a6
126ba26a500
1338b613b14
14207068d8c
15128b8e109
hexb315a450

3004539984 has 60 divisors (see below), whose sum is σ = 8451301716. Its totient is φ = 996420096.

The previous prime is 3004539947. The next prime is 3004540003. The reversal of 3004539984 is 4899354003.

It is a happy number.

3004539984 is a `hidden beast` number, since 30 + 0 + 4 + 539 + 9 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2528078400 + 476461584 = 50280^2 + 21828^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24589 + ... + 81324.

Almost surely, 23004539984 is an apocalyptic number.

It is an amenable number.

3004539984 is an abundant number, since it is smaller than the sum of its proper divisors (5446761732).

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

3004539984 is a wasteful number, since it uses less digits than its factorization.

3004539984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106124 (or 106115 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3004539984 is about 54813.6842768300. The cubic root of 3004539984 is about 1442.9767358366.

The spelling of 3004539984 in words is "three billion, four million, five hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 7092 9456 14184 28368 105913 211826 317739 423652 635478 847304 953217 1270956 1694608 1906434 2541912 3812868 5083824 7625736 15251472 20864861 41729722 62594583 83459444 125189166 166918888 187783749 250378332 333837776 375567498 500756664 751134996 1001513328 1502269992 3004539984