[go: up one dir, main page]

Search a number
-
+
6332430 = 2351321249
BaseRepresentation
bin11000001010000000001110
3102220201110110
4120022000032
53110114210
6343420450
7104552616
oct30120016
912821413
106332430
113635715
122154726
131409400
14baba46
15851420
hex60a00e

6332430 has 48 divisors (see below), whose sum is σ = 16470000. Its totient is φ = 1557504.

The previous prime is 6332413. The next prime is 6332437. The reversal of 6332430 is 342336.

It is a junction number, because it is equal to n+sod(n) for n = 6332397 and 6332406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6332437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4446 + ... + 5694.

It is an arithmetic number, because the mean of its divisors is an integer number (343125).

Almost surely, 26332430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6332430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235000).

6332430 is an abundant number, since it is smaller than the sum of its proper divisors (10137570).

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

6332430 is a wasteful number, since it uses less digits than its factorization.

6332430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 6332430 is about 2516.4319978891. The cubic root of 6332430 is about 185.0078399405.

Adding to 6332430 its reverse (342336), we get a palindrome (6674766).

The spelling of 6332430 in words is "six million, three hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1249 1690 2498 2535 3747 5070 6245 7494 12490 16237 18735 32474 37470 48711 81185 97422 162370 211081 243555 422162 487110 633243 1055405 1266486 2110810 3166215 6332430