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4134205344 = 253113381103
BaseRepresentation
bin1111011001101010…
…1111011110100000
3101200010020101120110
43312122233132200
531431324032334
61522122211320
7204310110543
oct36632573640
911603211513
104134205344
111831718735
12974653b40
1350b680369
142b30ca85a
15192e34ae9
hexf66af7a0

4134205344 has 48 divisors (see below), whose sum is σ = 10948355712. Its totient is φ = 1365869568.

The previous prime is 4134205337. The next prime is 4134205379. The reversal of 4134205344 is 4435024314.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179704 + ... + 201399.

It is an arithmetic number, because the mean of its divisors is an integer number (228090744).

Almost surely, 24134205344 is an apocalyptic number.

It is an amenable number.

4134205344 is an abundant number, since it is smaller than the sum of its proper divisors (6814150368).

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

4134205344 is a wasteful number, since it uses less digits than its factorization.

4134205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381229 (or 381221 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4134205344 is about 64297.7864626769. The cubic root of 4134205344 is about 1604.9592668305.

Adding to 4134205344 its reverse (4435024314), we get a palindrome (8569229658).

The spelling of 4134205344 in words is "four billion, one hundred thirty-four million, two hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 381103 762206 1143309 1524412 2286618 3048824 4573236 6097648 9146472 12195296 18292944 36585888 43064639 86129278 129193917 172258556 258387834 344517112 516775668 689034224 1033551336 1378068448 2067102672 4134205344