Search a number
-
+
3351968 = 25312109
BaseRepresentation
bin1100110010010110100000
320022022000222
430302112200
51324230333
6155502212
740330334
oct14622640
96268028
103351968
11198a424
121157968
13904919
146337c4
15463298
hex3325a0

3351968 has 36 divisors (see below), whose sum is σ = 6881490. Its totient is φ = 1607040.

The previous prime is 3351949. The next prime is 3352003. The reversal of 3351968 is 8691533.

It can be written as a sum of positive squares in only one way, i.e., 2598544 + 753424 = 1612^2 + 868^2 .

It is a super-2 number, since 2×33519682 = 22471378946048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30698 + ... + 30806.

Almost surely, 23351968 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 3351968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440745).

3351968 is an abundant number, since it is smaller than the sum of its proper divisors (3529522).

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

3351968 is a wasteful number, since it uses less digits than its factorization.

3351968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 142 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 3351968 is about 1830.8380594689. The cubic root of 3351968 is about 149.6580060453.

The spelling of 3351968 in words is "three million, three hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 109 124 218 248 436 496 872 961 992 1744 1922 3379 3488 3844 6758 7688 13516 15376 27032 30752 54064 104749 108128 209498 418996 837992 1675984 3351968