Search a number
-
+
2040301404 = 2232611019199
BaseRepresentation
bin111100110011100…
…1000011101011100
312021012012001100200
41321213020131130
513134304121104
6534242423500
7101363163411
oct17147103534
95235161320
102040301404
11957773709
1248b361b90
1326691814b
14154d8a108
15be1c3b39
hex799c875c

2040301404 has 72 divisors (see below), whose sum is σ = 5294452800. Its totient is φ = 662256000.

The previous prime is 2040301297. The next prime is 2040301433. The reversal of 2040301404 is 4041030402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217197 + ... + 226395.

Almost surely, 22040301404 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 2040301404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647226400).

2040301404 is an abundant number, since it is smaller than the sum of its proper divisors (3254151396).

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

2040301404 is a wasteful number, since it uses less digits than its factorization.

2040301404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2040301404 is about 45169.6956376728. The cubic root of 2040301404 is about 1268.3275988159.

Adding to 2040301404 its reverse (4041030402), we get a palindrome (6081331806).

The spelling of 2040301404 in words is "two billion, forty million, three hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 61 101 122 183 202 244 303 366 404 549 606 732 909 1098 1212 1818 2196 3636 6161 9199 12322 18398 18483 24644 27597 36796 36966 55194 55449 73932 82791 110388 110898 165582 221796 331164 561139 929099 1122278 1683417 1858198 2244556 2787297 3366834 3716396 5050251 5574594 6733668 8361891 10100502 11149188 16723782 20201004 33447564 56675039 113350078 170025117 226700156 340050234 510075351 680100468 1020150702 2040301404