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4334897241 = 32412349821
BaseRepresentation
bin1000000100110000…
…10100100001011001
3102012002212121002200
410002120110201121
532334213202431
61554051520413
7212265006243
oct40230244131
912162777080
104334897241
111924a33504
12a0b8b9109
1354111a56c
142d1a0d093
151a5878ee6
hex102614859

4334897241 has 36 divisors (see below), whose sum is σ = 6444192300. Its totient is φ = 2807942400.

The previous prime is 4334897221. The next prime is 4334897249. The reversal of 4334897241 is 1427984334.

It can be written as a sum of positive squares in 6 ways, for example, as 1223600400 + 3111296841 = 34980^2 + 55779^2 .

It is not a de Polignac number, because 4334897241 - 214 = 4334880857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4334897249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5279611 + ... + 5280431.

Almost surely, 24334897241 is an apocalyptic number.

4334897241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4334897241 is a deficient number, since it is larger than the sum of its proper divisors (2109295059).

4334897241 is a wasteful number, since it uses less digits than its factorization.

4334897241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1214 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 4334897241 is about 65839.9365203218. The cubic root of 4334897241 is about 1630.5205209019.

The spelling of 4334897241 in words is "four billion, three hundred thirty-four million, eight hundred ninety-seven thousand, two hundred forty-one".

Divisors: 1 3 9 41 123 349 369 821 1047 1681 2463 3141 5043 7389 14309 15129 33661 42927 100983 128781 286529 302949 586669 859587 1380101 1760007 2578761 4140303 5280021 11747689 12420909 35243067 105729201 481655249 1444965747 4334897241