Search a number
-
+
329106843 = 32135215399
BaseRepresentation
bin10011100111011…
…100010110011011
3211221021100201100
4103213130112123
51133222404333
652353522443
711104235112
oct2347342633
9757240640
10329106843
1115985492a
1292273423
135324c3a0
14319ccc79
151dd5d213
hex139dc59b

329106843 has 24 divisors (see below), whose sum is σ = 513021600. Its totient is φ = 202101120.

The previous prime is 329106829. The next prime is 329106851. The reversal of 329106843 is 348601923.

It is not a de Polignac number, because 329106843 - 29 = 329106331 is a prime.

It is a super-2 number, since 2×3291068432 = 216622628218853298, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 329106798 and 329106807.

It is not an unprimeable number, because it can be changed into a prime (329106803) 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, 58258 + ... + 63656.

It is an arithmetic number, because the mean of its divisors is an integer number (21375900).

Almost surely, 2329106843 is an apocalyptic number.

329106843 is a deficient number, since it is larger than the sum of its proper divisors (183914757).

329106843 is a wasteful number, since it uses less digits than its factorization.

329106843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939 (or 5936 counting only the distinct ones).

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

The square root of 329106843 is about 18141.3021307733. The cubic root of 329106843 is about 690.4183159708.

The spelling of 329106843 in words is "three hundred twenty-nine million, one hundred six thousand, eight hundred forty-three".

Divisors: 1 3 9 13 39 117 521 1563 4689 5399 6773 16197 20319 48591 60957 70187 210561 631683 2812879 8438637 25315911 36567427 109702281 329106843