Base | Representation |
---|---|
bin | 10100011001011… |
… | …000100010100000 |
3 | 212211220111000000 |
4 | 110121120202200 |
5 | 1200100322212 |
6 | 53542300000 |
7 | 11323432032 |
oct | 2431304240 |
9 | 784814000 |
10 | 342198432 |
11 | 166186824 |
12 | 96727600 |
13 | 55b841a4 |
14 | 33639c52 |
15 | 200971dc |
hex | 146588a0 |
342198432 has 84 divisors (see below), whose sum is σ = 1010161530. Its totient is φ = 114058368.
The previous prime is 342198431. The next prime is 342198433. The reversal of 342198432 is 234891243.
342198432 is a `hidden beast` number, since 3 + 4 + 219 + 8 + 432 = 666.
It is an interprime number because it is at equal distance from previous prime (342198431) and next prime (342198433).
It can be written as a sum of positive squares in only one way, i.e., 273042576 + 69155856 = 16524^2 + 8316^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (342198431) by changing a digit.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15994 + ... + 30662.
Almost surely, 2342198432 is an apocalyptic number.
342198432 is a gapful number since it is divisible by the number (32) 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 342198432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505080765).
342198432 is an abundant number, since it is smaller than the sum of its proper divisors (667963098).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
342198432 is an equidigital number, since it uses as much as digits as its factorization.
342198432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14697 (or 14674 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 342198432 is about 18498.6062177668. The cubic root of 342198432 is about 699.4542903296.
The spelling of 342198432 in words is "three hundred forty-two million, one hundred ninety-eight thousand, four hundred thirty-two".
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