Search a number
-
+
3219968 = 2919331
BaseRepresentation
bin1100010010001000000000
320001120222002
430102020000
51311014333
6153003132
736240443
oct14221000
96046862
103219968
1118aa234
1210b34a8
1388980b
145db65a
154390e8
hex312200

3219968 has 40 divisors (see below), whose sum is σ = 6792720. Its totient is φ = 1520640.

The previous prime is 3219967. The next prime is 3219973. The reversal of 3219968 is 8699123.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (3219967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9563 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (169818).

Almost surely, 23219968 is an apocalyptic number.

3219968 is a gapful number since it is divisible by the number (38) 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 3219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396360).

3219968 is an abundant number, since it is smaller than the sum of its proper divisors (3572752).

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

3219968 is an equidigital number, since it uses as much as digits as its factorization.

3219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 3219968 is about 1794.4269280191. The cubic root of 3219968 is about 147.6671360235.

The spelling of 3219968 in words is "three million, two hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 331 512 608 662 1216 1324 2432 2648 4864 5296 6289 9728 10592 12578 21184 25156 42368 50312 84736 100624 169472 201248 402496 804992 1609984 3219968