Search a number
-
+
3349808 = 247112719
BaseRepresentation
bin1100110001110100110000
320022012001222
430301310300
51324143213
6155444212
740321130
oct14616460
96265058
103349808
111988840
121156668
13903947
14632ac0
15462808
hex331d30

3349808 has 40 divisors (see below), whose sum is σ = 8094720. Its totient is φ = 1304640.

The previous prime is 3349807. The next prime is 3349817. The reversal of 3349808 is 8089433.

It is a super-2 number, since 2×33498082 = 22442427273728, which contains 22 as substring.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3349807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128 + ... + 2591.

It is an arithmetic number, because the mean of its divisors is an integer number (202368).

Almost surely, 23349808 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 3349808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047360).

3349808 is an abundant number, since it is smaller than the sum of its proper divisors (4744912).

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

3349808 is a wasteful number, since it uses less digits than its factorization.

3349808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 3349808 is about 1830.2480706178. The cubic root of 3349808 is about 149.6258527199.

The spelling of 3349808 in words is "three million, three hundred forty-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 2719 5438 10876 19033 21752 29909 38066 43504 59818 76132 119636 152264 209363 239272 304528 418726 478544 837452 1674904 3349808