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3442065075 = 325243359991
BaseRepresentation
bin1100110100101001…
…1011111010110011
322212212212000121200
43031022123322303
524022132040300
61325315222243
7151204033101
oct31512337263
98785760550
103442065075
111506a57489
128008a7983
1342b1635c7
142491dac71
151522b6200
hexcd29beb3

3442065075 has 72 divisors (see below), whose sum is σ = 6332451840. Its totient is φ = 1786276800.

The previous prime is 3442065043. The next prime is 3442065097. The reversal of 3442065075 is 5705602443.

It is not a de Polignac number, because 3442065075 - 25 = 3442065043 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3472830 + ... + 3473820.

It is an arithmetic number, because the mean of its divisors is an integer number (87950720).

Almost surely, 23442065075 is an apocalyptic number.

3442065075 is a deficient number, since it is larger than the sum of its proper divisors (2890386765).

3442065075 is a wasteful number, since it uses less digits than its factorization.

3442065075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3442065075 is about 58669.1151714426. The cubic root of 3442065075 is about 1509.8704733713.

It can be divided in two parts, 344206 and 5075, that added together give a square (349281 = 5912).

The spelling of 3442065075 in words is "three billion, four hundred forty-two million, sixty-five thousand, seventy-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 359 387 645 991 1075 1077 1795 1935 2973 3225 3231 4955 5385 8919 8975 9675 14865 15437 16155 24775 26925 42613 44595 46311 74325 77185 80775 127839 138933 213065 222975 231555 355769 383517 385925 639195 694665 1065325 1067307 1157775 1778845 1917585 3195975 3201921 3473325 5336535 8894225 9587925 15298067 16009605 26682675 45894201 76490335 80048025 137682603 229471005 382451675 688413015 1147355025 3442065075