Search a number
-
+
331339329 = 3437110557
BaseRepresentation
bin10011101111111…
…101011001000001
3212002110210010000
4103233331121001
51134310324304
652513430213
711132223606
oct2357753101
9762423100
10331339329
1116003a162
1292b6b369
1353851599
14320106ad
151e14e939
hex13bfd641

331339329 has 20 divisors (see below), whose sum is σ = 508345684. Its totient is φ = 214920864.

The previous prime is 331339301. The next prime is 331339363. The reversal of 331339329 is 923933133.

It can be written as a sum of positive squares in 2 ways, for example, as 149817600 + 181521729 = 12240^2 + 13473^2 .

It is not a de Polignac number, because 331339329 - 212 = 331335233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331339293 and 331339302.

It is not an unprimeable number, because it can be changed into a prime (331339369) 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 19 ways as a sum of consecutive naturals, for example, 52282 + ... + 58275.

Almost surely, 2331339329 is an apocalyptic number.

It is an amenable number.

331339329 is a deficient number, since it is larger than the sum of its proper divisors (177006355).

331339329 is a wasteful number, since it uses less digits than its factorization.

331339329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110606 (or 110597 counting only the distinct ones).

The product of its digits is 39366, while the sum is 36.

The square root of 331339329 is about 18202.7286141391. The cubic root of 331339329 is about 691.9759429250.

The spelling of 331339329 in words is "three hundred thirty-one million, three hundred thirty-nine thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 37 81 111 333 999 2997 110557 331671 995013 2985039 4090609 8955117 12271827 36815481 110446443 331339329