Search a number
-
+
3030002000 = 24533148871
BaseRepresentation
bin1011010010011010…
…0010100101010000
321211011111001100022
42310212202211100
522201140031000
61220355243012
7135041410034
oct26446424520
97734431308
103030002000
1113153a2393
127068a9468
1339398a3bc
1420a5b61c4
1512b01d585
hexb49a2950

3030002000 has 80 divisors (see below), whose sum is σ = 7563039744. Its totient is φ = 1172880000.

The previous prime is 3030001993. The next prime is 3030002033. The reversal of 3030002000 is 2000303.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

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 15 ways as a sum of consecutive naturals, for example, 37565 + ... + 86435.

Almost surely, 23030002000 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 3030002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781519872).

3030002000 is an abundant number, since it is smaller than the sum of its proper divisors (4533037744).

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

3030002000 is a wasteful number, since it uses less digits than its factorization.

3030002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48925 (or 48909 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 3030002000 is about 55045.4539448990. The cubic root of 3030002000 is about 1447.0414506992.

Adding to 3030002000 its reverse (2000303), we get a palindrome (3032002303).

The spelling of 3030002000 in words is "three billion, thirty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 48871 62000 97742 195484 244355 390968 488710 781936 977420 1221775 1515001 1954840 2443550 3030002 3909680 4887100 6060004 6108875 7575005 9774200 12120008 12217750 15150010 19548400 24240016 24435500 30300020 37875025 48871000 60600040 75750050 97742000 121200080 151500100 189375125 303000200 378750250 606000400 757500500 1515001000 3030002000