Search a number
-
+
3820224 = 263101197
BaseRepresentation
bin1110100100101011000000
321012002100210
432210223000
51434221344
6213514120
744320452
oct16445300
97162323
103820224
11217a211
121342940
13a39ab5
147162d2
15506db9
hex3a4ac0

3820224 has 56 divisors (see below), whose sum is σ = 10259568. Its totient is φ = 1254400.

The previous prime is 3820181. The next prime is 3820237. The reversal of 3820224 is 4220283.

It is a super-2 number, since 2×38202242 = 29188222820352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3820224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19294 + ... + 19490.

Almost surely, 23820224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129784).

3820224 is an abundant number, since it is smaller than the sum of its proper divisors (6439344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3820224 is a wasteful number, since it uses less digits than its factorization.

3820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3820224 is about 1954.5393319143. The cubic root of 3820224 is about 156.3254219346.

It can be divided in two parts, 38202 and 24, that added together give a triangular number (38226 = T276).

The spelling of 3820224 in words is "three million, eight hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 197 202 303 394 404 591 606 788 808 1182 1212 1576 1616 2364 2424 3152 3232 4728 4848 6304 6464 9456 9696 12608 18912 19392 19897 37824 39794 59691 79588 119382 159176 238764 318352 477528 636704 955056 1273408 1910112 3820224