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2104240384 = 28472612
BaseRepresentation
bin111110101101100…
…0010100100000000
312102122111111011001
41331123002210000
513302141143014
6544445101344
7103100514421
oct17533024400
95378444131
102104240384
1198a874a44
124a8857854
13276c43c6c
1415d671648
15c4b03974
hex7d6c2900

2104240384 has 81 divisors (see below), whose sum is σ = 4363036041. Its totient is φ = 1012853760.

The previous prime is 2104240381. The next prime is 2104240393. The reversal of 2104240384 is 4830424012.

It is a happy number.

The square root of 2104240384 is 45872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 68425984 + 2035814400 = 8272^2 + 45120^2 .

It is not an unprimeable number, because it can be changed into a prime (2104240381) 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 8 ways as a sum of consecutive naturals, for example, 34495714 + ... + 34495774.

Almost surely, 22104240384 is an apocalyptic number.

2104240384 is the 45872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104240384

2104240384 is an abundant number, since it is smaller than the sum of its proper divisors (2258795657).

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

2104240384 is an frugal number, since it uses more digits than its factorization.

2104240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The cubic root of 2104240384 is about 1281.4405136526.

Adding to 2104240384 its reverse (4830424012), we get a palindrome (6934664396).

The spelling of 2104240384 in words is "two billion, one hundred four million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 47 61 64 94 122 128 188 244 256 376 488 752 976 1504 1952 2209 2867 3008 3721 3904 4418 5734 6016 7442 7808 8836 11468 12032 14884 15616 17672 22936 29768 35344 45872 59536 70688 91744 119072 134749 141376 174887 183488 238144 269498 282752 349774 366976 476288 538996 565504 699548 733952 952576 1077992 1399096 2155984 2798192 4311968 5596384 8219689 8623936 11192768 16439378 17247872 22385536 32878756 34495744 44771072 65757512 131515024 263030048 526060096 1052120192 2104240384