Base | Representation |
---|---|
bin | 10011110010100… |
… | …001001010100000 |
3 | 212010201212022000 |
4 | 103302201022200 |
5 | 1134443311034 |
6 | 52540044000 |
7 | 11141016414 |
oct | 2362411240 |
9 | 763655260 |
10 | 332010144 |
11 | 160458154 |
12 | 93233600 |
13 | 53a27a0b |
14 | 32146d44 |
15 | 1e233599 |
hex | 13ca12a0 |
332010144 has 96 divisors (see below), whose sum is σ = 975240000. Its totient is φ = 109884672.
The previous prime is 332010137. The next prime is 332010197. The reversal of 332010144 is 441010233.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×3320101442 = 220461471437801472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127447 + ... + 130025.
It is an arithmetic number, because the mean of its divisors is an integer number (10158750).
Almost surely, 2332010144 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 332010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487620000).
332010144 is an abundant number, since it is smaller than the sum of its proper divisors (643229856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332010144 is a wasteful number, since it uses less digits than its factorization.
332010144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2747 (or 2733 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 332010144 is about 18221.1455183257. The cubic root of 332010144 is about 692.4426094663.
Adding to 332010144 its reverse (441010233), we get a palindrome (773020377).
The spelling of 332010144 in words is "three hundred thirty-two million, ten thousand, one hundred forty-four".
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