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3442155093 = 3213237712377
BaseRepresentation
bin1100110100101011…
…0001111001010101
322212220000121002200
43031022301321111
524022142430333
61325321155113
7151204556406
oct31512617125
98786017080
103442155093
111507009083
1280092ba99
1342b195580
142492219ad
151522d2c13
hexcd2b1e55

3442155093 has 24 divisors (see below), whose sum is σ = 5357148888. Its totient is φ = 2117187072.

The previous prime is 3442155089. The next prime is 3442155107. The reversal of 3442155093 is 3905512443.

It can be written as a sum of positive squares in 4 ways, for example, as 19554084 + 3422601009 = 4422^2 + 58503^2 .

It is not a de Polignac number, because 3442155093 - 22 = 3442155089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442155793) 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 23 ways as a sum of consecutive naturals, for example, 271921 + ... + 284297.

It is an arithmetic number, because the mean of its divisors is an integer number (223214537).

Almost surely, 23442155093 is an apocalyptic number.

It is an amenable number.

3442155093 is a deficient number, since it is larger than the sum of its proper divisors (1914993795).

3442155093 is a wasteful number, since it uses less digits than its factorization.

3442155093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14773 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3442155093 is about 58669.8823332722. The cubic root of 3442155093 is about 1509.8836354637.

The spelling of 3442155093 in words is "three billion, four hundred forty-two million, one hundred fifty-five thousand, ninety-three".

Divisors: 1 3 9 13 39 117 2377 7131 12377 21393 30901 37131 92703 111393 160901 278109 482703 1448109 29420129 88260387 264781161 382461677 1147385031 3442155093