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339185889 = 32728772
BaseRepresentation
bin10100001101111…
…001000011100001
3212122020102120100
4110031321003201
51143312422024
653353533013
711256014100
oct2415710341
9778212510
10339185889
11164509419
1295714169
135536ac13
1433094037
151eb9e7c9
hex143790e1

339185889 has 27 divisors (see below), whose sum is σ = 570575187. Its totient is φ = 193599504.

The previous prime is 339185839. The next prime is 339185909. The reversal of 339185889 is 988581933.

The square root of 339185889 is 18417.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 285779025 + 53406864 = 16905^2 + 7308^2 .

It is not a de Polignac number, because 339185889 - 215 = 339153121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (339185809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 386319 + ... + 387195.

Almost surely, 2339185889 is an apocalyptic number.

339185889 is the 18417-th square number.

339185889 is the 9209-th centered octagonal number.

It is an amenable number.

339185889 is a deficient number, since it is larger than the sum of its proper divisors (231389298).

339185889 is an frugal number, since it uses more digits than its factorization.

339185889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 887 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The cubic root of 339185889 is about 697.3956894924.

The spelling of 339185889 in words is "three hundred thirty-nine million, one hundred eighty-five thousand, eight hundred eighty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 877 2631 6139 7893 18417 42973 55251 128919 386757 769129 2307387 5383903 6922161 16151709 37687321 48455127 113061963 339185889