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34020412544 = 27617430769
BaseRepresentation
bin11111101011110001…
…100100110010000000
310020210221102000120102
4133223301210302000
51024133211200134
623343451301532
72313025510136
oct375361446200
9106727360512
1034020412544
11134786aa528
12671544a8a8
1332922b2931
14190a393756
15d41a8237e
hex7ebc64c80

34020412544 has 32 divisors (see below), whose sum is σ = 67885044300. Its totient is φ = 16982597632.

The previous prime is 34020412537. The next prime is 34020412571. The reversal of 34020412544 is 44521402043.

It can be written as a sum of positive squares in 2 ways, for example, as 21585486400 + 12434926144 = 146920^2 + 111512^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 136409 + ... + 294360.

Almost surely, 234020412544 is an apocalyptic number.

It is an amenable number.

34020412544 is a deficient number, since it is larger than the sum of its proper divisors (33864631756).

34020412544 is an equidigital number, since it uses as much as digits as its factorization.

34020412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431400 (or 431388 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 34020412544 its reverse (44521402043), we get a palindrome (78541814587).

The spelling of 34020412544 in words is "thirty-four billion, twenty million, four hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 617 1234 2468 4936 9872 19744 39488 78976 430769 861538 1723076 3446152 6892304 13784608 27569216 55138432 265784473 531568946 1063137892 2126275784 4252551568 8505103136 17010206272 34020412544