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339889 = 112532
BaseRepresentation
bin1010010111110110001
3122021020111
41102332301
541334024
611141321
72613634
oct1227661
9567214
10339889
11212400
12144841
13bb924
148bc1b
156aa94
hex52fb1

339889 has 9 divisors (see below), whose sum is σ = 380779. Its totient is φ = 303160.

The previous prime is 339887. The next prime is 339907. The reversal of 339889 is 988933.

The square root of 339889 is 583.

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., 245025 + 94864 = 495^2 + 308^2 .

It is not a de Polignac number, because 339889 - 21 = 339887 is a prime.

It is a Duffinian number.

Its product of digits (46656) is a multiple of the sum of its prime divisors (64).

339889 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (339887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6387 + ... + 6439.

2339889 is an apocalyptic number.

339889 is the 583-rd square number.

339889 is the 292-nd centered octagonal number.

It is an amenable number.

339889 is a deficient number, since it is larger than the sum of its proper divisors (40890).

339889 is an equidigital number, since it uses as much as digits as its factorization.

339889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The cubic root of 339889 is about 69.7877242693.

Multiplying 339889 by its product of digits (46656), we get a square (15857861184 = 1259282).

The spelling of 339889 in words is "three hundred thirty-nine thousand, eight hundred eighty-nine".

Divisors: 1 11 53 121 583 2809 6413 30899 339889