Base | Representation |
---|---|
bin | 1100101100010000000000 |
3 | 20021000202100 |
4 | 30230100000 |
5 | 1322430401 |
6 | 155150400 |
7 | 40164432 |
oct | 14542000 |
9 | 6230670 |
10 | 3326976 |
11 | 1972674 |
12 | 1145400 |
13 | 8c6433 |
14 | 628652 |
15 | 45ab86 |
hex | 32c400 |
3326976 has 99 divisors (see below), whose sum is σ = 10138791. Its totient is φ = 1050624.
The previous prime is 3326971. The next prime is 3326977. The reversal of 3326976 is 6796233.
The square root of 3326976 is 1824.
It is a perfect power (a square), and thus also a powerful number.
3326976 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×33269762 = 22137538609152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (40824) is a multiple of the sum of its prime divisors (24).
It is a self number, because there is not a number n which added to its sum of digits gives 3326976.
It is not an unprimeable number, because it can be changed into a prime (3326971) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 175095 + ... + 175113.
Almost surely, 23326976 is an apocalyptic number.
3326976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
3326976 is the 1824-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3326976
3326976 is an abundant number, since it is smaller than the sum of its proper divisors (6811815).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3326976 is a wasteful number, since it uses less digits than its factorization.
3326976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 64 (or 24 counting only the distinct ones).
The product of its digits is 40824, while the sum is 36.
The cubic root of 3326976 is about 149.2851318356.
Multiplying 3326976 by its sum of digits (36), we get a square (119771136 = 109442).
3326976 divided by its sum of digits (36) gives a square (92416 = 3042).
The spelling of 3326976 in words is "three million, three hundred twenty-six thousand, nine hundred seventy-six".
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