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3834616461 = 3131943151797
BaseRepresentation
bin1110010010001111…
…1001101010001101
3100220020111200212220
43210203321222031
530323130211321
61432301045553
7164011462554
oct34443715215
910806450786
103834616461
1116985a5115
128b02568b9
13491597730
142853c2d9b
151769a79c6
hexe48f9a8d

3834616461 has 64 divisors (see below), whose sum is σ = 5977466880. Its totient is φ = 2166393600.

The previous prime is 3834616439. The next prime is 3834616529. The reversal of 3834616461 is 1646164383.

It is not a de Polignac number, because 3834616461 - 210 = 3834615437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834616361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4810915 + ... + 4811711.

It is an arithmetic number, because the mean of its divisors is an integer number (93397920).

Almost surely, 23834616461 is an apocalyptic number.

It is an amenable number.

3834616461 is a deficient number, since it is larger than the sum of its proper divisors (2142850419).

3834616461 is a wasteful number, since it uses less digits than its factorization.

3834616461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026.

The product of its digits is 248832, while the sum is 42.

The square root of 3834616461 is about 61924.2800604093. The cubic root of 3834616461 is about 1565.2149141241.

The spelling of 3834616461 in words is "three billion, eight hundred thirty-four million, six hundred sixteen thousand, four hundred sixty-one".

Divisors: 1 3 13 19 39 43 57 129 151 247 453 559 741 797 817 1677 1963 2391 2451 2869 5889 6493 8607 10361 10621 15143 19479 31083 31863 34271 37297 45429 84409 102813 111891 120347 123367 196859 253227 361041 370101 445523 590577 651149 1336569 1564511 1603771 1953447 2286593 4693533 4811313 5174921 6859779 8464937 15524763 25394811 29725709 67273973 89177127 98323499 201821919 294970497 1278205487 3834616461