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3362816 = 212821
BaseRepresentation
bin1100110101000000000000
320022211220202
430311000000
51330102231
6200024332
740404062
oct14650000
96284822
103362816
111997596
1211620a8
13909842
14637732
154665cb
hex335000

3362816 has 26 divisors (see below), whose sum is σ = 6733002. Its totient is φ = 1679360.

The previous prime is 3362809. The next prime is 3362831. The reversal of 3362816 is 6182633.

It can be written as a sum of positive squares in only one way, i.e., 2560000 + 802816 = 1600^2 + 896^2 .

It is a super-2 number, since 2×33628162 = 22617062899712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3686 + ... + 4506.

Almost surely, 23362816 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 3362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366501).

3362816 is an abundant number, since it is smaller than the sum of its proper divisors (3370186).

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

3362816 is an frugal number, since it uses more digits than its factorization.

3362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 823 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 3362816 is about 1833.7982440825. The cubic root of 3362816 is about 149.8192786490.

The spelling of 3362816 in words is "three million, three hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 821 1024 1642 2048 3284 4096 6568 13136 26272 52544 105088 210176 420352 840704 1681408 3362816