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3004432112 = 2411413491193
BaseRepresentation
bin1011001100010011…
…1111111011110000
321202101100222001102
42303010333323300
522123113311422
61214043223532
7134311152203
oct26304777360
97671328042
103004432112
111301a18350
126ba217ba8
1338b5a69a6
1420703b93a
15128b6c192
hexb313fef0

3004432112 has 80 divisors (see below), whose sum is σ = 6529269600. Its totient is φ = 1327411200.

The previous prime is 3004432111. The next prime is 3004432127. The reversal of 3004432112 is 2112344003.

It is a super-2 number, since 2×30044321122 = 18053224631233561088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004432111) 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 15 ways as a sum of consecutive naturals, for example, 2517788 + ... + 2518980.

It is an arithmetic number, because the mean of its divisors is an integer number (81615870).

Almost surely, 23004432112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264634800).

3004432112 is an abundant number, since it is smaller than the sum of its proper divisors (3524837488).

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

3004432112 is a wasteful number, since it uses less digits than its factorization.

3004432112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3004432112 is about 54812.7002801358. The cubic root of 3004432112 is about 1442.9594665652.

Adding to 3004432112 its reverse (2112344003), we get a palindrome (5116776115).

The spelling of 3004432112 in words is "three billion, four million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 349 451 656 698 902 1193 1396 1804 2386 2792 3608 3839 4772 5584 7216 7678 9544 13123 14309 15356 19088 26246 28618 30712 48913 52492 57236 61424 97826 104984 114472 157399 195652 209968 228944 314798 391304 416357 538043 629596 782608 832714 1076086 1259192 1665428 2152172 2518384 3330856 4304344 4579927 6661712 8608688 9159854 17070637 18319708 34141274 36639416 68282548 73278832 136565096 187777007 273130192 375554014 751108028 1502216056 3004432112