Search a number
-
+
8381430 = 2325234049
BaseRepresentation
bin11111111110001111110110
3120202211011100
4133332033312
54121201210
6455350530
7131145441
oct37761766
916684140
108381430
114805102
122982446
131975c35
141182658
15b085c0
hex7fe3f6

8381430 has 48 divisors (see below), whose sum is σ = 22744800. Its totient is φ = 2137344.

The previous prime is 8381393. The next prime is 8381437. The reversal of 8381430 is 341838.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 8381394 and 8381403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8381437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46 + ... + 4094.

It is an arithmetic number, because the mean of its divisors is an integer number (473850).

Almost surely, 28381430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8381430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11372400).

8381430 is an abundant number, since it is smaller than the sum of its proper divisors (14363370).

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

8381430 is a wasteful number, since it uses less digits than its factorization.

8381430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8381430 is about 2895.0699473415. The cubic root of 8381430 is about 203.1293633777.

The spelling of 8381430 in words is "eight million, three hundred eighty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 4049 8098 12147 20245 24294 36441 40490 60735 72882 93127 121470 182205 186254 279381 364410 465635 558762 838143 931270 1396905 1676286 2793810 4190715 8381430