Search a number
-
+
6394432 = 261131293
BaseRepresentation
bin11000011001001001000000
3110000212111211
4120121021000
53114110212
6345015504
7105231442
oct30311100
913025454
106394432
113678260
122184594
13142b6b5
14bc6492
158649a7
hex619240

6394432 has 56 divisors (see below), whose sum is σ = 14337792. Its totient is φ = 2803200.

The previous prime is 6394373. The next prime is 6394433. The reversal of 6394432 is 2344936.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 6394394 and 6394403.

It is not an unprimeable number, because it can be changed into a prime (6394433) 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 7 ways as a sum of consecutive naturals, for example, 21678 + ... + 21970.

It is an arithmetic number, because the mean of its divisors is an integer number (256032).

Almost surely, 26394432 is an apocalyptic number.

6394432 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896).

6394432 is an abundant number, since it is smaller than the sum of its proper divisors (7943360).

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

6394432 is a wasteful number, since it uses less digits than its factorization.

6394432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its digits is 15552, while the sum is 31.

The square root of 6394432 is about 2528.7214160520. The cubic root of 6394432 is about 185.6096952922.

The spelling of 6394432 in words is "six million, three hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 293 341 352 496 586 682 704 992 1172 1364 1984 2344 2728 3223 4688 5456 6446 9083 9376 10912 12892 18166 18752 21824 25784 36332 51568 72664 99913 103136 145328 199826 206272 290656 399652 581312 799304 1598608 3197216 6394432