Search a number
-
+
2900018304 = 273217373397
BaseRepresentation
bin1010110011011010…
…1100010010000000
321111002220012020100
42230312230102000
521414401041204
61155433242400
7131602514601
oct25466542200
97432805210
102900018304
111258a91747
1268b263400
13372a79181
141d721bda8
1511e8e4a39
hexacdac480

2900018304 has 192 divisors, whose sum is σ = 8881998840. Its totient is φ = 905084928.

The previous prime is 2900018291. The next prime is 2900018309. The reversal of 2900018304 is 4038100092.

It can be written as a sum of positive squares in 4 ways, for example, as 2846435904 + 53582400 = 53352^2 + 7320^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2900018309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7304634 + ... + 7305030.

Almost surely, 22900018304 is an apocalyptic number.

2900018304 is a gapful number since it is divisible by the number (24) 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 2900018304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440999420).

2900018304 is an abundant number, since it is smaller than the sum of its proper divisors (5981980536).

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

2900018304 is a wasteful number, since it uses less digits than its factorization.

2900018304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2900018304 is about 53851.8180194504. The cubic root of 2900018304 is about 1426.0461473997.

Adding to 2900018304 its reverse (4038100092), we get a palindrome (6938118396).

The spelling of 2900018304 in words is "two billion, nine hundred million, eighteen thousand, three hundred four".