Search a number
-
+
2324420300 = 2252312632851
BaseRepresentation
bin1000101010001011…
…1101011011001100
312222222210210012202
42022202331123030
514230022422200
61022352221032
7111413150366
oct21242753314
95888723182
102324420300
11a93090414
1254a53a778
132b0745537
141809c7d36
15d90e71d5
hex8a8bd6cc

2324420300 has 72 divisors (see below), whose sum is σ = 5228332032. Its totient is φ = 896040000.

The previous prime is 2324420291. The next prime is 2324420321. The reversal of 2324420300 is 30244232.

2324420300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813875 + ... + 816725.

Almost surely, 22324420300 is an apocalyptic number.

2324420300 is a gapful number since it is divisible by the number (20) 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 2324420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614166016).

2324420300 is an abundant number, since it is smaller than the sum of its proper divisors (2903911732).

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

2324420300 is a wasteful number, since it uses less digits than its factorization.

2324420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2324420300 is about 48212.2422212450. The cubic root of 2324420300 is about 1324.6614158012.

Adding to 2324420300 its reverse (30244232), we get a palindrome (2354664532).

The spelling of 2324420300 in words is "two billion, three hundred twenty-four million, four hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 263 310 526 620 775 1052 1315 1550 2630 2851 3100 5260 5702 6575 8153 11404 13150 14255 16306 26300 28510 32612 40765 57020 71275 81530 88381 142550 163060 176762 203825 285100 353524 407650 441905 749813 815300 883810 1499626 1767620 2209525 2999252 3749065 4419050 7498130 8838100 14996260 18745325 23244203 37490650 46488406 74981300 92976812 116221015 232442030 464884060 581105075 1162210150 2324420300