Base | Representation |
---|---|
bin | 10011110010111… |
… | …011110000000000 |
3 | 212010221101200012 |
4 | 103302323300000 |
5 | 1140010302130 |
6 | 52542244052 |
7 | 11141652041 |
oct | 2362736000 |
9 | 763841605 |
10 | 332119040 |
11 | 160521a50 |
12 | 93286628 |
13 | 53a65456 |
14 | 321748c8 |
15 | 1e255995 |
hex | 13cbbc00 |
332119040 has 88 divisors (see below), whose sum is σ = 869270832. Its totient is φ = 120750080.
The previous prime is 332119037. The next prime is 332119127. The reversal of 332119040 is 40911233.
332119040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (88).
It is a super-2 number, since 2×3321190402 = 220606113461043200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 332118997 and 332119015.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53372 + ... + 59268.
Almost surely, 2332119040 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 332119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434635416).
332119040 is an abundant number, since it is smaller than the sum of its proper divisors (537151792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332119040 is a wasteful number, since it uses less digits than its factorization.
332119040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5933 (or 5915 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 23.
The square root of 332119040 is about 18224.1334499065. The cubic root of 332119040 is about 692.5183059365.
The spelling of 332119040 in words is "three hundred thirty-two million, one hundred nineteen thousand, forty".
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