Base | Representation |
---|---|
bin | 11001010001110… |
… | …110100101101000 |
3 | 1002120001001011002 |
4 | 121101312211220 |
5 | 1332033013230 |
6 | 110030054132 |
7 | 13336610405 |
oct | 3121664550 |
9 | 1076031132 |
10 | 424110440 |
11 | 1a84434a6 |
12 | ba04a348 |
13 | 69b33930 |
14 | 4047d2ac |
15 | 27377545 |
hex | 19476968 |
424110440 has 64 divisors (see below), whose sum is σ = 1030050000. Its totient is φ = 156229632.
The previous prime is 424110403. The next prime is 424110451. The reversal of 424110440 is 44011424.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 45185284 + 378925156 = 6722^2 + 19466^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338936 + ... + 340184.
Almost surely, 2424110440 is an apocalyptic number.
424110440 is a gapful number since it is divisible by the number (40) 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 424110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515025000).
424110440 is an abundant number, since it is smaller than the sum of its proper divisors (605939560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424110440 is a wasteful number, since it uses less digits than its factorization.
424110440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
The square root of 424110440 is about 20593.9418276347. The cubic root of 424110440 is about 751.3223722570.
Adding to 424110440 its reverse (44011424), we get a palindrome (468121864).
The spelling of 424110440 in words is "four hundred twenty-four million, one hundred ten thousand, four hundred forty".
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