Base | Representation |
---|---|
bin | 10011111100100… |
… | …100110010101010 |
3 | 212022200210121200 |
4 | 103330210302222 |
5 | 1141132141232 |
6 | 53112345030 |
7 | 11202306414 |
oct | 2374446252 |
9 | 768623550 |
10 | 334646442 |
11 | 161998909 |
12 | 940a5176 |
13 | 5443b960 |
14 | 326319b4 |
15 | 1e5a477c |
hex | 13f24caa |
334646442 has 48 divisors (see below), whose sum is σ = 785901480. Its totient is φ = 102301056.
The previous prime is 334646437. The next prime is 334646447. The reversal of 334646442 is 244646433.
334646442 is a `hidden beast` number, since 3 + 3 + 4 + 6 + 4 + 644 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (334646437) and next prime (334646447).
It can be written as a sum of positive squares in 4 ways, for example, as 124077321 + 210569121 = 11139^2 + 14511^2 .
It is a super-3 number, since 3×3346464423 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 334646397 and 334646406.
It is not an unprimeable number, because it can be changed into a prime (334646447) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32184 + ... + 41292.
Almost surely, 2334646442 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 334646442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392950740).
334646442 is an abundant number, since it is smaller than the sum of its proper divisors (451255038).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334646442 is a wasteful number, since it uses less digits than its factorization.
334646442 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9287 (or 9284 counting only the distinct ones).
The product of its digits is 165888, while the sum is 36.
The square root of 334646442 is about 18293.3441994623. The cubic root of 334646442 is about 694.2705401275.
Subtracting from 334646442 its reverse (244646433), we obtain a palindrome (90000009).
The spelling of 334646442 in words is "three hundred thirty-four million, six hundred forty-six thousand, four hundred forty-two".
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