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2343424400 = 24527974159
BaseRepresentation
bin1000101110101101…
…1101000110010000
320001022120021221022
42023223131012100
514244404040100
61024311415012
7112033531052
oct21353350620
96038507838
102343424400
11aa2890489
12554984468
132b466a575
141833338d2
15daaece85
hex8badd190

2343424400 has 60 divisors (see below), whose sum is σ = 5701420800. Its totient is φ = 925491840.

The previous prime is 2343424399. The next prime is 2343424403. The reversal of 2343424400 is 44243432.

It is a self number, because there is not a number n which added to its sum of digits gives 2343424400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343424403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5480 + ... + 68679.

It is an arithmetic number, because the mean of its divisors is an integer number (95023680).

Almost surely, 22343424400 is an apocalyptic number.

2343424400 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 2343424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850710400).

2343424400 is an abundant number, since it is smaller than the sum of its proper divisors (3357996400).

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

2343424400 is a wasteful number, since it uses less digits than its factorization.

2343424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74256 (or 74245 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2343424400 is about 48408.9289284529. The cubic root of 2343424400 is about 1328.2616972287.

Adding to 2343424400 its reverse (44243432), we get a palindrome (2387667832).

The spelling of 2343424400 in words is "two billion, three hundred forty-three million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 158 200 316 395 400 632 790 1264 1580 1975 3160 3950 6320 7900 15800 31600 74159 148318 296636 370795 593272 741590 1186544 1483180 1853975 2966360 3707950 5858561 5932720 7415900 11717122 14831800 23434244 29292805 29663600 46868488 58585610 93736976 117171220 146464025 234342440 292928050 468684880 585856100 1171712200 2343424400