Base | Representation |
---|---|
bin | 10011101111101… |
… | …100100110100000 |
3 | 212002100021210000 |
4 | 103233230212200 |
5 | 1134301124220 |
6 | 52512140000 |
7 | 11131516245 |
oct | 2357544640 |
9 | 762307700 |
10 | 331270560 |
11 | 15aaa2525 |
12 | 92b37600 |
13 | 538291aa |
14 | 31dd35cc |
15 | 1e139390 |
hex | 13bec9a0 |
331270560 has 120 divisors (see below), whose sum is σ = 1169154756. Its totient is φ = 88335360.
The previous prime is 331270559. The next prime is 331270561. The reversal of 331270560 is 65072133.
It is a happy number.
331270560 is a `hidden beast` number, since 3 + 31 + 2 + 70 + 560 = 666.
It is an interprime number because it is at equal distance from previous prime (331270559) and next prime (331270561).
It can be written as a sum of positive squares in 2 ways, for example, as 327899664 + 3370896 = 18108^2 + 1836^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (331270561) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180 + ... + 25740.
Almost surely, 2331270560 is an apocalyptic number.
331270560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 331270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584577378).
331270560 is an abundant number, since it is smaller than the sum of its proper divisors (837884196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331270560 is a wasteful number, since it uses less digits than its factorization.
331270560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25588 (or 25571 counting only the distinct ones).
The product of its (nonzero) digits is 3780, while the sum is 27.
The square root of 331270560 is about 18200.8395410761. The cubic root of 331270560 is about 691.9280667429.
The spelling of 331270560 in words is "three hundred thirty-one million, two hundred seventy thousand, five hundred sixty".
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