Base | Representation |
---|---|
bin | 1100100011011101100000 |
3 | 20012012101000 |
4 | 30203131200 |
5 | 1320302401 |
6 | 154312000 |
7 | 36654453 |
oct | 14433540 |
9 | 6165330 |
10 | 3290976 |
11 | 1948617 |
12 | 1128600 |
13 | 8b2c30 |
14 | 61949a |
15 | 450186 |
hex | 323760 |
3290976 has 96 divisors (see below), whose sum is σ = 10372320. Its totient is φ = 1009152.
The previous prime is 3290927. The next prime is 3290977. The reversal of 3290976 is 6790923.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 3290976.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3290977) 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, 11086 + ... + 11378.
It is an arithmetic number, because the mean of its divisors is an integer number (108045).
Almost surely, 23290976 is an apocalyptic number.
3290976 is a gapful number since it is divisible by the number (36) 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 3290976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186160).
3290976 is an abundant number, since it is smaller than the sum of its proper divisors (7081344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3290976 is a wasteful number, since it uses less digits than its factorization.
3290976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 325 (or 311 counting only the distinct ones).
The product of its (nonzero) digits is 20412, while the sum is 36.
The square root of 3290976 is about 1814.1047378804. The cubic root of 3290976 is about 148.7447245263.
The spelling of 3290976 in words is "three million, two hundred ninety thousand, nine hundred seventy-six".
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