Base | Representation |
---|---|
bin | 1100110100010100100000 |
3 | 20022201002122 |
4 | 30310110200 |
5 | 1330010112 |
6 | 200003412 |
7 | 40363004 |
oct | 14642440 |
9 | 6281078 |
10 | 3360032 |
11 | 1995495 |
12 | 1160568 |
13 | 9084b0 |
14 | 636704 |
15 | 465872 |
hex | 334520 |
3360032 has 48 divisors (see below), whose sum is σ = 7334712. Its totient is φ = 1505280.
The previous prime is 3360031. The next prime is 3360037. The reversal of 3360032 is 2300633.
It can be written as a sum of positive squares in 4 ways, for example, as 2446096 + 913936 = 1564^2 + 956^2 .
It is a super-2 number, since 2×33600322 = 22579630082048, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (3360031) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16958 + ... + 17154.
Almost surely, 23360032 is an apocalyptic number.
3360032 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 3360032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667356).
3360032 is an abundant number, since it is smaller than the sum of its proper divisors (3974680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3360032 is a wasteful number, since it uses less digits than its factorization.
3360032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 261 (or 253 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 17.
The square root of 3360032 is about 1833.0390066772. The cubic root of 3360032 is about 149.7779232268. Note that the first 3 decimals are identical.
Adding to 3360032 its reverse (2300633), we get a palindrome (5660665).
The spelling of 3360032 in words is "three million, three hundred sixty thousand, thirty-two".
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