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3004322013 = 3271153157521
BaseRepresentation
bin1011001100010010…
…0101000011011101
321202101011101000200
42303010211003131
522123101301023
61214041014113
7134310213210
oct26304450335
97671141020
103004322013
111301952660
126ba184339
1338b568844
1420700d777
15128b49743
hexb31250dd

3004322013 has 96 divisors (see below), whose sum is σ = 5558222592. Its totient is φ = 1518566400.

The previous prime is 3004322011. The next prime is 3004322021. The reversal of 3004322013 is 3102234003.

3004322013 is a `hidden beast` number, since 30 + 0 + 432 + 201 + 3 = 666.

It is not a de Polignac number, because 3004322013 - 21 = 3004322011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004322011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5766193 + ... + 5766713.

It is an arithmetic number, because the mean of its divisors is an integer number (57898152).

Almost surely, 23004322013 is an apocalyptic number.

3004322013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3004322013 is a deficient number, since it is larger than the sum of its proper divisors (2553900579).

3004322013 is a wasteful number, since it uses less digits than its factorization.

3004322013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3004322013 is about 54811.6959507731. The cubic root of 3004322013 is about 1442.9418403462.

Adding to 3004322013 its reverse (3102234003), we get a palindrome (6106556016).

The spelling of 3004322013 in words is "three billion, four million, three hundred twenty-two thousand, thirteen".

Divisors: 1 3 7 9 11 21 33 53 63 77 99 157 159 231 371 471 477 521 583 693 1099 1113 1413 1563 1727 1749 3297 3339 3647 4081 4689 5181 5247 5731 8321 9891 10941 12089 12243 15543 17193 24963 27613 32823 36267 36729 40117 51579 58247 74889 81797 82839 91531 108801 120351 174741 193291 245391 248517 274593 303743 361053 524223 572579 579873 640717 736173 823779 899767 911229 1717737 1739619 1922151 2126201 2699301 2733687 4335241 5153211 5766453 6298369 6378603 8097903 13005723 18895107 19135809 30346687 39017169 47687651 56685321 91040061 143062953 273120183 333813557 429188859 1001440671 3004322013