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4342114305 = 32553971372
BaseRepresentation
bin1000000101100111…
…10110100000000001
3102012121110021001100
410002303312200001
532343040124210
61554510325013
7212413235244
oct40263664001
912177407040
104342114305
111929012821
12a121b9769
13542776509
142d296b25b
151a63025c0
hex102cf6801

4342114305 has 72 divisors (see below), whose sum is σ = 7804355832. Its totient is φ = 2232262656.

The previous prime is 4342114277. The next prime is 4342114333. The reversal of 4342114305 is 5034112434.

It is a happy number.

4342114305 is a `hidden beast` number, since 4 + 342 + 1 + 14 + 305 = 666.

It is an interprime number because it is at equal distance from previous prime (4342114277) and next prime (4342114333).

It can be written as a sum of positive squares in 12 ways, for example, as 347747904 + 3994366401 = 18648^2 + 63201^2 .

It is not a de Polignac number, because 4342114305 - 227 = 4207896577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31694197 + ... + 31694333.

It is an arithmetic number, because the mean of its divisors is an integer number (108393831).

Almost surely, 24342114305 is an apocalyptic number.

4342114305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4342114305 is a deficient number, since it is larger than the sum of its proper divisors (3462241527).

4342114305 is a wasteful number, since it uses less digits than its factorization.

4342114305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4342114305 is about 65894.7213743256. The cubic root of 4342114305 is about 1631.4248903959.

Adding to 4342114305 its reverse (5034112434), we get a palindrome (9376226739).

It can be divided in two parts, 434211 and 4305, that added together give a triangular number (438516 = T936).

The spelling of 4342114305 in words is "four billion, three hundred forty-two million, one hundred fourteen thousand, three hundred five".

Divisors: 1 3 5 9 15 45 53 97 137 159 265 291 411 477 485 685 795 873 1233 1455 2055 2385 4365 5141 6165 7261 13289 15423 18769 21783 25705 36305 39867 46269 56307 65349 66445 77115 93845 108915 119601 168921 199335 231345 281535 326745 598005 704317 844605 994757 1820593 2112951 2984271 3521585 4973785 5461779 6338853 8952813 9102965 10564755 14921355 16385337 27308895 31694265 44764065 81926685 96491429 289474287 482457145 868422861 1447371435 4342114305