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3428795271 = 311219613811
BaseRepresentation
bin1100110001011111…
…0100001110000111
322211221212211212110
43030113310032013
524010232422041
61324122552103
7150653164446
oct31427641607
98757784773
103428795271
1114aa513700
127b8368633
13428498655
14247544d5d
15151044516
hexcc5f4387

3428795271 has 48 divisors (see below), whose sum is σ = 5304763520. Its totient is φ = 1963051200.

The previous prime is 3428795257. The next prime is 3428795323. The reversal of 3428795271 is 1725978243.

It is a happy number.

It is not a de Polignac number, because 3428795271 - 25 = 3428795239 is a prime.

It is a super-3 number, since 3×34287952713 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3428795271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428795231) 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 47 ways as a sum of consecutive naturals, for example, 4227456 + ... + 4228266.

Almost surely, 23428795271 is an apocalyptic number.

3428795271 is a deficient number, since it is larger than the sum of its proper divisors (1875968249).

3428795271 is a wasteful number, since it uses less digits than its factorization.

3428795271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1457 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 3428795271 is about 58555.9157643359. The cubic root of 3428795271 is about 1507.9276970437.

The spelling of 3428795271 in words is "three billion, four hundred twenty-eight million, seven hundred ninety-five thousand, two hundred seventy-one".

Divisors: 1 3 11 19 33 57 121 209 363 613 627 811 1839 2299 2433 6743 6897 8921 11647 15409 20229 26763 34941 46227 74173 98131 128117 169499 222519 294393 384351 497143 508497 1409287 1491429 1864489 4227861 5468573 5593467 9445717 16405719 28337151 60154303 103902887 180462909 311708661 1142931757 3428795271