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3430642144 = 25181592307
BaseRepresentation
bin1100110001111011…
…0111000111100000
322212002100200022011
43030132313013200
524011221022034
61324230322304
7151004656066
oct31436670740
98762320264
103430642144
111500565246
127b8ab9394
13428994187
142478a6036
151512ab864
hexcc7b71e0

3430642144 has 24 divisors (see below), whose sum is σ = 6791403528. Its totient is φ = 1705841280.

The previous prime is 3430642121. The next prime is 3430642153. The reversal of 3430642144 is 4412460343.

It is a congruent number.

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, 290362 + ... + 301945.

It is an arithmetic number, because the mean of its divisors is an integer number (282975147).

Almost surely, 23430642144 is an apocalyptic number.

It is an amenable number.

3430642144 is a deficient number, since it is larger than the sum of its proper divisors (3360761384).

3430642144 is a wasteful number, since it uses less digits than its factorization.

3430642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592498 (or 592490 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 3430642144 is about 58571.6838071094. The cubic root of 3430642144 is about 1508.1983898920.

The spelling of 3430642144 in words is "three billion, four hundred thirty million, six hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 181 362 724 1448 2896 5792 592307 1184614 2369228 4738456 9476912 18953824 107207567 214415134 428830268 857660536 1715321072 3430642144