Search a number
-
+
339628041 = 3261432
BaseRepresentation
bin10100001111100…
…101000000001001
3212200001220002100
4110033211000021
51143421044131
653411224013
711262535134
oct2417450011
9780056070
10339628041
11164790635
12958a8009
135549424c
143316b21b
151ec3a7e6
hex143e5009

339628041 has 9 divisors (see below), whose sum is σ = 490653709. Its totient is φ = 226381836.

The previous prime is 339628027. The next prime is 339628043. The reversal of 339628041 is 140826933.

The square root of 339628041 is 18429.

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

339628041 is a `hidden beast` number, since 339 + 6 + 280 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 339628041 - 219 = 339103753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 339627987 and 339628005.

It is not an unprimeable number, because it can be changed into a prime (339628043) 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, 52216 + ... + 58358.

Almost surely, 2339628041 is an apocalyptic number.

339628041 is the 18429-th square number.

339628041 is the 9215-th centered octagonal number.

It is an amenable number.

339628041 is a deficient number, since it is larger than the sum of its proper divisors (151025668).

339628041 is an frugal number, since it uses more digits than its factorization.

339628041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 339628041 is about 697.6985922355.

Multiplying 339628041 by its sum of digits (36), we get a square (12226609476 = 1105742).

The spelling of 339628041 in words is "three hundred thirty-nine million, six hundred twenty-eight thousand, forty-one".

Divisors: 1 3 9 6143 18429 55287 37736449 113209347 339628041