Search a number
-
+
428130360 = 23345743439
BaseRepresentation
bin11001100001001…
…100000000111000
31002211121021110000
4121201030000320
51334100132420
6110252153000
713416022320
oct3141140070
91084537400
10428130360
111aa739749
12bb468760
136a910598
1440c08280
15278bd690
hex1984c038

428130360 has 320 divisors, whose sum is σ = 1686643200. Its totient is φ = 95364864.

The previous prime is 428130347. The next prime is 428130377. The reversal of 428130360 is 63031824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 975021 + ... + 975459.

It is an arithmetic number, because the mean of its divisors is an integer number (5270760).

Almost surely, 2428130360 is an apocalyptic number.

428130360 is a gapful number since it is divisible by the number (40) 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 428130360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843321600).

428130360 is an abundant number, since it is smaller than the sum of its proper divisors (1258512840).

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

428130360 is a wasteful number, since it uses less digits than its factorization.

428130360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 428130360 is about 20691.3112199300. The cubic root of 428130360 is about 753.6887081668.

The spelling of 428130360 in words is "four hundred twenty-eight million, one hundred thirty thousand, three hundred sixty".