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34021433601 = 32614832
BaseRepresentation
bin11111101011110101…
…011110000100000001
310020211000022220012100
4133223311132010001
51024133441333401
623343525221013
72313040262031
oct375365360401
9106730286170
1034021433601
1113479237681
126715861769
13329257c5cc
14190a57b8c1
15d41bd4b86
hex7ebd5e101

34021433601 has 9 divisors (see below), whose sum is σ = 49142870049. Its totient is φ = 22680586836.

The previous prime is 34021433543. The next prime is 34021433603. The reversal of 34021433601 is 10633412043.

The square root of 34021433601 is 184449.

It is a perfect power (a square), and thus also a powerful number.

34021433601 is a `hidden beast` number, since 3 + 4 + 0 + 21 + 4 + 33 + 601 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-34021433601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34021433603) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 522606 + ... + 584088.

Almost surely, 234021433601 is an apocalyptic number.

34021433601 is the 184449-th square number.

34021433601 is the 92225-th centered octagonal number.

It is an amenable number.

34021433601 is a deficient number, since it is larger than the sum of its proper divisors (15121436448).

34021433601 is an frugal number, since it uses more digits than its factorization.

34021433601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122972 (or 61486 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Multiplying 34021433601 by its product of nonzero digits (5184), we get a square (176367111787584 = 132803282).

Adding to 34021433601 its reverse (10633412043), we get a palindrome (44654845644).

The spelling of 34021433601 in words is "thirty-four billion, twenty-one million, four hundred thirty-three thousand, six hundred one".

Divisors: 1 3 9 61483 184449 553347 3780159289 11340477867 34021433601