Base | Representation |
---|---|
bin | 11001101101000… |
… | …011110001101000 |
3 | 1010001110101021200 |
4 | 121231003301220 |
5 | 1340344223334 |
6 | 110443004200 |
7 | 13454333211 |
oct | 3155036150 |
9 | 1101411250 |
10 | 431242344 |
11 | 201474835 |
12 | 100509660 |
13 | 6b45cbb0 |
14 | 413b8408 |
15 | 27cd5799 |
hex | 19b43c68 |
431242344 has 96 divisors (see below), whose sum is σ = 1281669480. Its totient is φ = 130171392.
The previous prime is 431242321. The next prime is 431242391. The reversal of 431242344 is 443242134.
It is a happy number.
431242344 is a `hidden beast` number, since 4 + 312 + 4 + 2 + 344 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 229886244 + 201356100 = 15162^2 + 14190^2 .
It is a super-2 number, since 2×4312423442 = 371939918517228672, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45262 + ... + 53954.
Almost surely, 2431242344 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 431242344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640834740).
431242344 is an abundant number, since it is smaller than the sum of its proper divisors (850427136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
431242344 is a wasteful number, since it uses less digits than its factorization.
431242344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8771 (or 8764 counting only the distinct ones).
The product of its digits is 9216, while the sum is 27.
The square root of 431242344 is about 20766.3753216588. The cubic root of 431242344 is about 755.5104330159.
Adding to 431242344 its reverse (443242134), we get a palindrome (874484478).
It can be divided in two parts, 4312 and 42344, that added together give a 6-th power (46656 = 66).
The spelling of 431242344 in words is "four hundred thirty-one million, two hundred forty-two thousand, three hundred forty-four".
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