Search a number
-
+
3280192 = 26107479
BaseRepresentation
bin1100100000110101000000
320011122120121
430200311000
51314431232
6154150024
736611146
oct14406500
96148517
103280192
111940503
121122314
138ab056
14615596
1544bd97
hex320d40

3280192 has 28 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 1621376.

The previous prime is 3280187. The next prime is 3280213. The reversal of 3280192 is 2910823.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6609 + ... + 7087.

Almost surely, 23280192 is an apocalyptic number.

3280192 is a gapful number since it is divisible by the number (32) 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 3280192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

3280192 is an abundant number, since it is smaller than the sum of its proper divisors (3303488).

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

3280192 is a wasteful number, since it uses less digits than its factorization.

3280192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 3280192 is about 1811.1300339843. The cubic root of 3280192 is about 148.5820758783.

The spelling of 3280192 in words is "three million, two hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 107 214 428 479 856 958 1712 1916 3424 3832 6848 7664 15328 30656 51253 102506 205012 410024 820048 1640096 3280192