Base | Representation |
---|---|
bin | 10011101111111… |
… | …000111100110100 |
3 | 212002102212011100 |
4 | 103233320330310 |
5 | 1134304234030 |
6 | 52513210100 |
7 | 11132116563 |
oct | 2357707464 |
9 | 762385140 |
10 | 331321140 |
11 | 160027527 |
12 | 92b60930 |
13 | 53846217 |
14 | 32007bda |
15 | 1e149360 |
hex | 13bf8f34 |
331321140 has 36 divisors (see below), whose sum is σ = 1005008004. Its totient is φ = 88352256.
The previous prime is 331321127. The next prime is 331321147. The reversal of 331321140 is 41123133.
331321140 is a `hidden beast` number, since 331 + 321 + 14 + 0 = 666.
331321140 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 241678116 + 89643024 = 15546^2 + 9468^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
331321140 is strictly pandigital in base 9.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (331321147) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 920157 + ... + 920516.
It is an arithmetic number, because the mean of its divisors is an integer number (27916889).
Almost surely, 2331321140 is an apocalyptic number.
331321140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
331321140 is an abundant number, since it is smaller than the sum of its proper divisors (673686864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331321140 is a wasteful number, since it uses less digits than its factorization.
331321140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1840688 (or 1840683 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 331321140 is about 18202.2289843854. The cubic root of 331321140 is about 691.9632805981.
Adding to 331321140 its reverse (41123133), we get a palindrome (372444273).
The spelling of 331321140 in words is "three hundred thirty-one million, three hundred twenty-one thousand, one hundred forty".
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