Search a number
-
+
3343296 = 263111583
BaseRepresentation
bin1100110000001111000000
320021212010210
430300033000
51323441141
6155354120
740263135
oct14601700
96255123
103343296
111983960
121152940
139009a8
1463058c
15460916
hex3303c0

3343296 has 56 divisors (see below), whose sum is σ = 9656064. Its totient is φ = 1012480.

The previous prime is 3343289. The next prime is 3343309. The reversal of 3343296 is 6923433.

It is a super-2 number, since 2×33432962 = 22355256287232, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 39 + 410 + 311 + 221 + 93 + 6 .

It is a zygodrome in base 2.

It is a congruent number.

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, 1321 + ... + 2903.

Almost surely, 23343296 is an apocalyptic number.

3343296 is the 1056-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828032).

3343296 is an abundant number, since it is smaller than the sum of its proper divisors (6312768).

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

3343296 is a wasteful number, since it uses less digits than its factorization.

3343296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1599 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 3343296 is about 1828.4682113726. The cubic root of 3343296 is about 149.5288326697.

The spelling of 3343296 in words is "three million, three hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1583 2112 3166 4749 6332 9498 12664 17413 18996 25328 34826 37992 50656 52239 69652 75984 101312 104478 139304 151968 208956 278608 303936 417912 557216 835824 1114432 1671648 3343296