Search a number
-
+
430230528 = 2103571319
BaseRepresentation
bin11001101001001…
…100110000000000
31002222112222100000
4121221030300000
51340114334103
6110405200000
713442620260
oct3151146000
91088488300
10430230528
11200943622
12100100000
136b1974a0
14411d37a0
1527b85aa3
hex19a4cc00

430230528 has 528 divisors, whose sum is σ = 1669041920. Its totient is φ = 107495424.

The previous prime is 430230469. The next prime is 430230529. The reversal of 430230528 is 825032034.

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

It is not an unprimeable number, because it can be changed into a prime (430230529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22643703 + ... + 22643721.

Almost surely, 2430230528 is an apocalyptic number.

430230528 is a gapful number since it is divisible by the number (48) 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 430230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834520960).

430230528 is an abundant number, since it is smaller than the sum of its proper divisors (1238811392).

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

430230528 is a wasteful number, since it uses less digits than its factorization.

430230528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 430230528 is about 20741.9991321955. Note that the first 3 decimals coincide. The cubic root of 430230528 is about 754.9190901995.

The spelling of 430230528 in words is "four hundred thirty million, two hundred thirty thousand, five hundred twenty-eight".