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4341492100 = 22521125992
BaseRepresentation
bin1000000101100010…
…11110100110000100
3102012120021122112201
410002301132212010
532342410221400
61554445124244
7212405034241
oct40261364604
912176248481
104341492100
111928728300
12a11b59684
135425b924a
142d28485c8
151a622d06a
hex102c5e984

4341492100 has 81 divisors (see below), whose sum is σ = 10372672261. Its totient is φ = 1576088800.

The previous prime is 4341492083. The next prime is 4341492109. The reversal of 4341492100 is 12941434.

The square root of 4341492100 is 65890.

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., 1562937156 + 2778554944 = 39534^2 + 52712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4341492109) 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 26 ways as a sum of consecutive naturals, for example, 7247601 + ... + 7248199.

Almost surely, 24341492100 is an apocalyptic number.

4341492100 is the 65890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4341492100

4341492100 is an abundant number, since it is smaller than the sum of its proper divisors (6031180161).

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

4341492100 is a wasteful number, since it uses less digits than its factorization.

4341492100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 4341492100 is about 1631.3469614468.

The spelling of 4341492100 in words is "four billion, three hundred forty-one million, four hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 599 605 1100 1198 1210 2396 2420 2995 3025 5990 6050 6589 11980 12100 13178 14975 26356 29950 32945 59900 65890 72479 131780 144958 164725 289916 329450 358801 362395 658900 717602 724790 1435204 1449580 1794005 1811975 3588010 3623950 3946811 7176020 7247900 7893622 8970025 15787244 17940050 19734055 35880100 39468110 43414921 78936220 86829842 98670275 173659684 197340550 217074605 394681100 434149210 868298420 1085373025 2170746050 4341492100