Base | Representation |
---|---|
bin | 11001101000110… |
… | …110101010010000 |
3 | 1002222101101012220 |
4 | 121220312222100 |
5 | 1340103440143 |
6 | 110403221040 |
7 | 13442062422 |
oct | 3150665220 |
9 | 1088341186 |
10 | 430140048 |
11 | 200891648 |
12 | 100077780 |
13 | 6b165250 |
14 | 411ac812 |
15 | 27b68d83 |
hex | 19a36a90 |
430140048 has 80 divisors (see below), whose sum is σ = 1204297920. Its totient is φ = 131507712.
The previous prime is 430140047. The next prime is 430140049. The reversal of 430140048 is 840041034.
It is an interprime number because it is at equal distance from previous prime (430140047) and next prime (430140049).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (430140047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99598 + ... + 103826.
It is an arithmetic number, because the mean of its divisors is an integer number (15053724).
Almost surely, 2430140048 is an apocalyptic number.
430140048 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 430140048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602148960).
430140048 is an abundant number, since it is smaller than the sum of its proper divisors (774157872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
430140048 is a wasteful number, since it uses less digits than its factorization.
430140048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4416 (or 4410 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 430140048 is about 20739.8179355558. The cubic root of 430140048 is about 754.8661651871.
The spelling of 430140048 in words is "four hundred thirty million, one hundred forty thousand, forty-eight".
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