Base | Representation |
---|---|
bin | 10011110010101… |
… | …001000011001000 |
3 | 212010210111121011 |
4 | 103302221003020 |
5 | 1140000324230 |
6 | 52540453304 |
7 | 11141212522 |
oct | 2362510310 |
9 | 763714534 |
10 | 332042440 |
11 | 16047a444 |
12 | 9324a234 |
13 | 53a39622 |
14 | 32154a12 |
15 | 1e23ce2a |
hex | 13ca90c8 |
332042440 has 64 divisors (see below), whose sum is σ = 772714800. Its totient is φ = 128314368.
The previous prime is 332042429. The next prime is 332042441. The reversal of 332042440 is 44240233.
It can be written as a sum of positive squares in 8 ways, for example, as 97891236 + 234151204 = 9894^2 + 15302^2 .
It is a super-2 number, since 2×3320424402 = 220504363922307200, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (332042441) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231646 + ... + 233074.
Almost surely, 2332042440 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 332042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386357400).
332042440 is an abundant number, since it is smaller than the sum of its proper divisors (440672360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332042440 is a wasteful number, since it uses less digits than its factorization.
332042440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1634 (or 1630 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 22.
The square root of 332042440 is about 18222.0317198714. The cubic root of 332042440 is about 692.4650609906.
Adding to 332042440 its reverse (44240233), we get a palindrome (376282673).
The spelling of 332042440 in words is "three hundred thirty-two million, forty-two thousand, four hundred forty".
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