Search a number
-
+
10329384 = 2331333107
BaseRepresentation
bin100111011001…
…110100101000
3201102210020210
4213121310220
510121020014
61005221120
7153540552
oct47316450
921383223
1010329384
11591568a
1235617a0
1321a8780
14152c4d2
15d90859
hex9d9d28

10329384 has 32 divisors (see below), whose sum is σ = 27810720. Its totient is φ = 3178176.

The previous prime is 10329373. The next prime is 10329409. The reversal of 10329384 is 48392301.

10329384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16242 + ... + 16865.

It is an arithmetic number, because the mean of its divisors is an integer number (869085).

Almost surely, 210329384 is an apocalyptic number.

It is an amenable number.

10329384 is an abundant number, since it is smaller than the sum of its proper divisors (17481336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10329384 is a wasteful number, since it uses less digits than its factorization.

10329384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33129 (or 33125 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 10329384 is about 3213.9359047747. The cubic root of 10329384 is about 217.7834170258.

It can be divided in two parts, 10329 and 384, that multiplied together give a triangular number (3966336 = T2816).

The spelling of 10329384 in words is "ten million, three hundred twenty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 33107 66214 99321 132428 198642 264856 397284 430391 794568 860782 1291173 1721564 2582346 3443128 5164692 10329384