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2400020304 = 2431110344131
BaseRepresentation
bin1000111100001101…
…0110011101010000
320012021001122220220
42033003112131100
514403401122204
61034052433040
7113321556513
oct21703263520
96167048826
102400020304
111021826860
1256b918780
132c32c4c76
1418aa66d7a
15e0a7c1d9
hex8f0d6750

2400020304 has 80 divisors (see below), whose sum is σ = 6829515264. Its totient is φ = 720201600.

The previous prime is 2400020303. The next prime is 2400020317. The reversal of 2400020304 is 4030200042.

It is a happy number.

It is a super-2 number, since 2×24000203042 = 11520194919224504832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400020303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32319 + ... + 76449.

Almost surely, 22400020304 is an apocalyptic number.

2400020304 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 2400020304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414757632).

2400020304 is an abundant number, since it is smaller than the sum of its proper divisors (4429494960).

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

2400020304 is a wasteful number, since it uses less digits than its factorization.

2400020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44256 (or 44250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2400020304 is about 48990.0020820575. The cubic root of 2400020304 is about 1338.8696757555.

Adding to 2400020304 its reverse (4030200042), we get a palindrome (6430220346).

The spelling of 2400020304 in words is "two billion, four hundred million, twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 206 264 309 412 528 618 824 1133 1236 1648 2266 2472 3399 4532 4944 6798 9064 13596 18128 27192 44131 54384 88262 132393 176524 264786 353048 485441 529572 706096 970882 1059144 1456323 1941764 2118288 2912646 3883528 4545493 5825292 7767056 9090986 11650584 13636479 18181972 23301168 27272958 36363944 50000423 54545916 72727888 100000846 109091832 150001269 200001692 218183664 300002538 400003384 600005076 800006768 1200010152 2400020304