| Base | Representation |
|---|---|
| bin | 10011101110101… |
| … | …010100011100000 |
| 3 | 212001211112200110 |
| 4 | 103232222203200 |
| 5 | 1134214000112 |
| 6 | 52502251320 |
| 7 | 11126311446 |
| oct | 2356524340 |
| 9 | 761745613 |
| 10 | 331000032 |
| 11 | 15a928250 |
| 12 | 92a26b40 |
| 13 | 5376300c |
| 14 | 31d62b96 |
| 15 | 1e0d413c |
| hex | 13baa8e0 |
331000032 has 96 divisors (see below), whose sum is σ = 951882624. Its totient is φ = 99878400.
The previous prime is 331000009. The next prime is 331000037. The reversal of 331000032 is 230000133.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×3310000322 = 219122042368002048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 330999981 and 331000017.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (331000037) 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, 323682 + ... + 324702.
It is an arithmetic number, because the mean of its divisors is an integer number (9915444).
Almost surely, 2331000032 is an apocalyptic number.
331000032 is a gapful number since it is divisible by the number (32) 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 331000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475941312).
331000032 is an abundant number, since it is smaller than the sum of its proper divisors (620882592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331000032 is a wasteful number, since it uses less digits than its factorization.
331000032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1352 (or 1344 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 12.
The square root of 331000032 is about 18193.4062780998. The cubic root of 331000032 is about 691.7396639526.
Adding to 331000032 its reverse (230000133), we get a palindrome (561000165).
The spelling of 331000032 in words is "three hundred thirty-one million, thirty-two", and thus it is an aban number.
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