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3430043505 = 325717640531
BaseRepresentation
bin1100110001110010…
…0100111101110001
322212001020021010100
43030130210331301
524011042343010
61324205423013
7150666613560
oct31434447561
98761207110
103430043505
1115001964a9
127b886aa69
13428814855
1424778bbd7
151511de2c0
hexcc724f71

3430043505 has 48 divisors (see below), whose sum is σ = 7194455424. Its totient is φ = 1475781120.

The previous prime is 3430043483. The next prime is 3430043537. The reversal of 3430043505 is 5053400343.

It is a happy number.

3430043505 is a `hidden beast` number, since 3 + 4 + 300 + 4 + 350 + 5 = 666.

It is not a de Polignac number, because 3430043505 - 27 = 3430043377 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 314911 + ... + 325620.

It is an arithmetic number, because the mean of its divisors is an integer number (149884488).

Almost surely, 23430043505 is an apocalyptic number.

3430043505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3430043505 is an abundant number, since it is smaller than the sum of its proper divisors (3764411919).

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

3430043505 is a wasteful number, since it uses less digits than its factorization.

3430043505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640566 (or 640563 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 3430043505 is about 58566.5732734979. The cubic root of 3430043505 is about 1508.1106590961.

Adding to 3430043505 its reverse (5053400343), we get a palindrome (8483443848).

The spelling of 3430043505 in words is "three billion, four hundred thirty million, forty-three thousand, five hundred five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 640531 1921593 3202655 4483717 5764779 9607965 10889027 13451151 22418585 28823895 32667081 40353453 54445135 67255755 76223189 98001243 163335405 201767265 228669567 381115945 490006215 686008701 1143347835 3430043505