Search a number
-
+
2001410304 = 28310325301
BaseRepresentation
bin111011101001011…
…0001100100000000
312011111000011210120
41313102301210000
513044330112204
6530333100240
7100411464315
oct16722614400
95144004716
102001410304
11937820203
1247a327680
1325b84c26a
1414db44d0c
15baa906d9
hex774b1900

2001410304 has 72 divisors (see below), whose sum is σ = 5378597952. Its totient is φ = 660633600.

The previous prime is 2001410293. The next prime is 2001410309. The reversal of 2001410304 is 4030141002.

It is not an unprimeable number, because it can be changed into a prime (2001410309) 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 7 ways as a sum of consecutive naturals, for example, 66454 + ... + 91754.

Almost surely, 22001410304 is an apocalyptic number.

2001410304 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 2001410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689298976).

2001410304 is an abundant number, since it is smaller than the sum of its proper divisors (3377187648).

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

2001410304 is a wasteful number, since it uses less digits than its factorization.

2001410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25423 (or 25409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2001410304 is about 44737.1244493877. The cubic root of 2001410304 is about 1260.2171255957.

Adding to 2001410304 its reverse (4030141002), we get a palindrome (6031551306).

The spelling of 2001410304 in words is "two billion, one million, four hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 618 768 824 1236 1648 2472 3296 4944 6592 9888 13184 19776 25301 26368 39552 50602 75903 79104 101204 151806 202408 303612 404816 607224 809632 1214448 1619264 2428896 2606003 3238528 4857792 5212006 6477056 7818009 9715584 10424012 15636018 19431168 20848024 31272036 41696048 62544072 83392096 125088144 166784192 250176288 333568384 500352576 667136768 1000705152 2001410304