Search a number
-
+
430204128 = 2534481293
BaseRepresentation
bin11001101001000…
…110010011100000
31002222111122010020
4121221012103200
51340113013003
6110404433440
713442450304
oct3151062340
91088448106
10430204128
11200925802
121000a8880
136b188473
14411c7d04
1527b7cd53
hex19a464e0

430204128 has 24 divisors (see below), whose sum is σ = 1129286088. Its totient is φ = 143401344.

The previous prime is 430204109. The next prime is 430204129. The reversal of 430204128 is 821402034.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 430204098 and 430204107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430204129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2240551 + ... + 2240742.

It is an arithmetic number, because the mean of its divisors is an integer number (47053587).

Almost surely, 2430204128 is an apocalyptic number.

430204128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

430204128 is an abundant number, since it is smaller than the sum of its proper divisors (699081960).

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

430204128 is a wasteful number, since it uses less digits than its factorization.

430204128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481306 (or 4481298 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 430204128 is about 20741.3627324725. The cubic root of 430204128 is about 754.9036486549.

The spelling of 430204128 in words is "four hundred thirty million, two hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4481293 8962586 13443879 17925172 26887758 35850344 53775516 71700688 107551032 143401376 215102064 430204128