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4341424300 = 22521710092531
BaseRepresentation
bin1000000101100010…
…01110000010101100
3102012120011012112121
410002301032002230
532342401034200
61554443442324
7212404332463
oct40261160254
912176135477
104341424300
111928691374
12a11b263a4
13542594425
142d282b9da
151a6217e1a
hex102c4e0ac

4341424300 has 72 divisors (see below), whose sum is σ = 9988891920. Its totient is φ = 1632153600.

The previous prime is 4341424289. The next prime is 4341424301. The reversal of 4341424300 is 34241434.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4341424301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1714035 + ... + 1716565.

It is an arithmetic number, because the mean of its divisors is an integer number (138734610).

Almost surely, 24341424300 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 4341424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994445960).

4341424300 is an abundant number, since it is smaller than the sum of its proper divisors (5647467620).

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

4341424300 is a wasteful number, since it uses less digits than its factorization.

4341424300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4341424300 is about 65889.4855041379. The cubic root of 4341424300 is about 1631.3384692896.

Adding to 4341424300 its reverse (34241434), we get a palindrome (4375665734).

The spelling of 4341424300 in words is "four billion, three hundred forty-one million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1009 1700 2018 2531 4036 5045 5062 10090 10124 12655 17153 20180 25225 25310 34306 43027 50450 50620 63275 68612 85765 86054 100900 126550 171530 172108 215135 253100 343060 428825 430270 857650 860540 1075675 1715300 2151350 2553779 4302700 5107558 10215116 12768895 25537790 43414243 51075580 63844475 86828486 127688950 173656972 217071215 255377900 434142430 868284860 1085356075 2170712150 4341424300