Base | Representation |
---|---|
bin | 1100110101011111000000 |
3 | 20022221122020 |
4 | 30311133000 |
5 | 1330133200 |
6 | 200041440 |
7 | 40412625 |
oct | 14653700 |
9 | 6287566 |
10 | 3364800 |
11 | 199902a |
12 | 1163280 |
13 | 90a70a |
14 | 63834c |
15 | 466ea0 |
hex | 3357c0 |
3364800 has 84 divisors (see below), whose sum is σ = 11055096. Its totient is φ = 896000.
The previous prime is 3364799. The next prime is 3364813. The reversal of 3364800 is 84633.
3364800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×33648002 = 22643758080000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4450 + ... + 5150.
Almost surely, 23364800 is an apocalyptic number.
3364800 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 3364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527548).
3364800 is an abundant number, since it is smaller than the sum of its proper divisors (7690296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3364800 is a wasteful number, since it uses less digits than its factorization.
3364800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 726 (or 711 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
The square root of 3364800 is about 1834.3391180477. The cubic root of 3364800 is about 149.8487364023.
The spelling of 3364800 in words is "three million, three hundred sixty-four thousand, eight hundred".
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