Base | Representation |
---|---|
bin | 11001000011011… |
… | …111001001111010 |
3 | 1002021221201011200 |
4 | 121003133021322 |
5 | 1330102010232 |
6 | 105413235030 |
7 | 13262604000 |
oct | 3103371172 |
9 | 1067851150 |
10 | 420344442 |
11 | 1a6301001 |
12 | b8932a76 |
13 | 6911572b |
14 | 3db7ca70 |
15 | 26d8177c |
hex | 190df27a |
420344442 has 96 divisors (see below), whose sum is σ = 1074028800. Its totient is φ = 118752480.
The previous prime is 420344437. The next prime is 420344443. The reversal of 420344442 is 244443024.
It is a happy number.
It is not an unprimeable number, because it can be changed into a prime (420344443) 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, 635592 + ... + 636252.
It is an arithmetic number, because the mean of its divisors is an integer number (11187800).
Almost surely, 2420344442 is an apocalyptic number.
420344442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 420344442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537014400).
420344442 is an abundant number, since it is smaller than the sum of its proper divisors (653684358).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420344442 is a wasteful number, since it uses less digits than its factorization.
420344442 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 793 (or 776 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 27.
The square root of 420344442 is about 20502.3033340159. The cubic root of 420344442 is about 749.0919035916.
Adding to 420344442 its reverse (244443024), we get a palindrome (664787466).
The spelling of 420344442 in words is "four hundred twenty million, three hundred forty-four thousand, four hundred forty-two".
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