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3428589177 = 3213297912791
BaseRepresentation
bin1100110001011100…
…0001111001111001
322211221111101011100
43030113001321321
524010204323202
61324114322013
7150651345546
oct31427017171
98757441140
103428589177
1114aa392882
127b8289309
134284258c0
142474cdbcd
1515100341c
hexcc5c1e79

3428589177 has 48 divisors (see below), whose sum is σ = 5587545600. Its totient is φ = 2011201920.

The previous prime is 3428589173. The next prime is 3428589193. The reversal of 3428589177 is 7719858243.

It is a happy number.

3428589177 is a `hidden beast` number, since 3 + 42 + 8 + 589 + 17 + 7 = 666.

It is not a de Polignac number, because 3428589177 - 22 = 3428589173 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3428589173) 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, 261652 + ... + 274442.

It is an arithmetic number, because the mean of its divisors is an integer number (116407200).

Almost surely, 23428589177 is an apocalyptic number.

It is an amenable number.

3428589177 is a deficient number, since it is larger than the sum of its proper divisors (2158956423).

3428589177 is a wasteful number, since it uses less digits than its factorization.

3428589177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12918 (or 12915 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 3428589177 is about 58554.1559327773. The cubic root of 3428589177 is about 1507.8974841893.

The spelling of 3428589177 in words is "three billion, four hundred twenty-eight million, five hundred eighty-nine thousand, one hundred seventy-seven".

Divisors: 1 3 9 13 29 39 79 87 117 237 261 377 711 1027 1131 2291 3081 3393 6873 9243 12791 20619 29783 38373 89349 115119 166283 268047 370939 498849 1010489 1112817 1496547 3031467 3338451 4822207 9094401 13136357 14466621 29304181 39409071 43399863 87912543 118227213 263737629 380954353 1142863059 3428589177