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3030002004 = 2231726114323
BaseRepresentation
bin1011010010011010…
…0010100101010100
321211011111001100110
42310212202211110
522201140031004
61220355243020
7135041410041
oct26446424524
97734431313
103030002004
1113153a2397
127068a9470
1339398a3c3
1420a5b61c8
1512b01d589
hexb49a2954

3030002004 has 72 divisors (see below), whose sum is σ = 7634004448. Its totient is φ = 934940160.

The previous prime is 3030001993. The next prime is 3030002033. The reversal of 3030002004 is 4002000303.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204387 + ... + 218709.

Almost surely, 23030002004 is an apocalyptic number.

3030002004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3030002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817002224).

3030002004 is an abundant number, since it is smaller than the sum of its proper divisors (4604002444).

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

3030002004 is a wasteful number, since it uses less digits than its factorization.

3030002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14425 (or 14406 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3030002004 is about 55045.4539812326. The cubic root of 3030002004 is about 1447.0414513360.

Adding to 3030002004 its reverse (4002000303), we get a palindrome (7032002307).

The spelling of 3030002004 in words is "three billion, thirty million, two thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 289 366 578 732 867 1037 1156 1734 2074 3111 3468 4148 6222 12444 14323 17629 28646 35258 42969 52887 57292 70516 85938 105774 171876 211548 243491 486982 730473 873703 973964 1460946 1747406 2621109 2921892 3494812 4139347 5242218 8278694 10484436 12418041 14852951 16557388 24836082 29705902 44558853 49672164 59411804 89117706 178235412 252500167 505000334 757500501 1010000668 1515001002 3030002004