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3342336 = 216317
BaseRepresentation
bin1100110000000000000000
320021210211020
430300000000
51323423321
6155345440
740260264
oct14600000
96253736
103342336
111983168
121152280
1390041a
146300a4
154604c6
hex330000

3342336 has 68 divisors (see below), whose sum is σ = 9437112. Its totient is φ = 1048576.

The previous prime is 3342331. The next prime is 3342341. The reversal of 3342336 is 6332433.

It is an interprime number because it is at equal distance from previous prime (3342331) and next prime (3342341).

It is a tau number, because it is divible by the number of its divisors (68).

It is a super-2 number, since 2×33423362 = 22342419873792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3 + 34 + 48 + 211 + 36 + 313 + 68 .

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3342331) by changing a digit.

In principle, a polygon with 3342336 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196600 + ... + 196616.

Almost surely, 23342336 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 3342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718556).

3342336 is an abundant number, since it is smaller than the sum of its proper divisors (6094776).

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

3342336 is an frugal number, since it uses more digits than its factorization.

3342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 22 counting only the distinct ones).

The product of its digits is 3888, while the sum is 24.

The square root of 3342336 is about 1828.2056777070. The cubic root of 3342336 is about 149.5145193074.

Adding to 3342336 its reverse (6332433), we get a palindrome (9674769).

The spelling of 3342336 in words is "three million, three hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8192 8704 12288 13056 16384 17408 24576 26112 32768 34816 49152 52224 65536 69632 98304 104448 139264 196608 208896 278528 417792 557056 835584 1114112 1671168 3342336