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430303104 = 273473112
BaseRepresentation
bin11001101001011…
…110011110000000
31002222200122220000
4121221132132000
51340124144404
6110410520000
713443342000
oct3151363600
91088618800
10430303104
11200993100
12100136000
136b1c152a
1441212000
1527b9c339
hex19a5e780

430303104 has 480 divisors, whose sum is σ = 1641486000. Its totient is φ = 111767040.

The previous prime is 430303103. The next prime is 430303121. The reversal of 430303104 is 401303034.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×4303031042 = 370321522624069632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430303103) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39118459 + ... + 39118469.

Almost surely, 2430303104 is an apocalyptic number.

430303104 is a gapful number since it is divisible by the number (44) 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 430303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820743000).

430303104 is an abundant number, since it is smaller than the sum of its proper divisors (1211182896).

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

430303104 is an equidigital number, since it uses as much as digits as its factorization.

430303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 430303104 is about 20743.7485522747. The cubic root of 430303104 is about 754.9615371544.

Adding to 430303104 its reverse (401303034), we get a palindrome (831606138).

The spelling of 430303104 in words is "four hundred thirty million, three hundred three thousand, one hundred four".