Search a number
-
+
3012000000 = 28356251
BaseRepresentation
bin1011001110000111…
…0111100100000000
321202220121110020120
42303201313210000
522132033000000
61214513340240
7134432402052
oct26341674400
97686543216
103012000000
1113062171a9
12700867680
13390026529
1420804b8d2
151296646a0
hexb3877900

3012000000 has 252 divisors, whose sum is σ = 10060183728. Its totient is φ = 800000000.

The previous prime is 3011999993. The next prime is 3012000011. The reversal of 3012000000 is 2103.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11999875 + ... + 12000125.

It is an arithmetic number, because the mean of its divisors is an integer number (39921364).

Almost surely, 23012000000 is an apocalyptic number.

3012000000 is a gapful number since it is divisible by the number (30) 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 3012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030091864).

3012000000 is an abundant number, since it is smaller than the sum of its proper divisors (7048183728).

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

3012000000 is an frugal number, since it uses more digits than its factorization.

3012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 3012000000 is about 54881.6909360490. The cubic root of 3012000000 is about 1444.1700114179.

Adding to 3012000000 its reverse (2103), we get a palindrome (3012002103).

The spelling of 3012000000 in words is "three billion, twelve million", and thus it is an aban number and an uban number.