Search a number
-
+
334084329 = 32431515717
BaseRepresentation
bin10011111010011…
…011100011101001
3212021122020112200
4103322123203221
51141011144304
653052330413
711164445535
oct2372334351
9767566480
10334084329
11161644557
1293a73a09
13542a2b47
1432526bc5
151e4e2e39
hex13e9b8e9

334084329 has 24 divisors (see below), whose sum is σ = 497145792. Its totient is φ = 216064800.

The previous prime is 334084259. The next prime is 334084339. The reversal of 334084329 is 923480433.

It is a happy number.

It is not a de Polignac number, because 334084329 - 29 = 334083817 is a prime.

It is a super-2 number, since 2×3340843292 = 223224677766760482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334084293 and 334084302.

It is not an unprimeable number, because it can be changed into a prime (334084339) 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 23 ways as a sum of consecutive naturals, for example, 55579 + ... + 61295.

It is an arithmetic number, because the mean of its divisors is an integer number (20714408).

Almost surely, 2334084329 is an apocalyptic number.

It is an amenable number.

334084329 is a deficient number, since it is larger than the sum of its proper divisors (163061463).

334084329 is a wasteful number, since it uses less digits than its factorization.

334084329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 334084329 is about 18277.9738756789. The cubic root of 334084329 is about 693.8815950999.

The spelling of 334084329 in words is "three hundred thirty-four million, eighty-four thousand, three hundred twenty-nine".

Divisors: 1 3 9 43 129 151 387 453 1359 5717 6493 17151 19479 51453 58437 245831 737493 863267 2212479 2589801 7769403 37120481 111361443 334084329