Search a number
-
+
339256129 is a prime number
BaseRepresentation
bin10100001110001…
…010001101000001
3212122100222220211
4110032022031001
51143322144004
653355234121
711256425632
oct2416121501
9778328824
10339256129
11164557173
1295748941
1355393b94
14330b1889
151ebb5504
hex1438a341

339256129 has 2 divisors, whose sum is σ = 339256130. Its totient is φ = 339256128.

The previous prime is 339256117. The next prime is 339256189. The reversal of 339256129 is 921652933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172975104 + 166281025 = 13152^2 + 12895^2 .

It is a cyclic number.

It is not a de Polignac number, because 339256129 - 211 = 339254081 is a prime.

It is a super-3 number, since 3×3392561293 (a number of 27 digits) contains 333 as substring.

It is equal to p18256792 and since 339256129 and 18256792 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 339256091 and 339256100.

It is not a weakly prime, because it can be changed into another prime (339256189) 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 as a sum of consecutive naturals, namely, 169628064 + 169628065.

It is an arithmetic number, because the mean of its divisors is an integer number (169628065).

Almost surely, 2339256129 is an apocalyptic number.

It is an amenable number.

339256129 is a deficient number, since it is larger than the sum of its proper divisors (1).

339256129 is an equidigital number, since it uses as much as digits as its factorization.

339256129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 87480, while the sum is 40.

The square root of 339256129 is about 18418.9068350975. The cubic root of 339256129 is about 697.4438260195.

The spelling of 339256129 in words is "three hundred thirty-nine million, two hundred fifty-six thousand, one hundred twenty-nine".