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3306096 = 24342551
BaseRepresentation
bin1100100111001001110000
320012222010000
430213021300
51321243341
6154510000
740046523
oct14471160
96188100
103306096
111958a12
121135300
138b9a91
14620bba
154548b6
hex327270

3306096 has 50 divisors (see below), whose sum is σ = 9572552. Its totient is φ = 1101600.

The previous prime is 3306091. The next prime is 3306131. The reversal of 3306096 is 6906033.

It is a super-2 number, since 2×33060962 = 21860541522432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306091) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21 + ... + 2571.

Almost surely, 23306096 is an apocalyptic number.

3306096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786276).

3306096 is an abundant number, since it is smaller than the sum of its proper divisors (6266456).

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

3306096 is a wasteful number, since it uses less digits than its factorization.

3306096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3306096 is about 1818.2673070811. The cubic root of 3306096 is about 148.9721732339.

The spelling of 3306096 in words is "three million, three hundred six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2551 5102 7653 10204 15306 20408 22959 30612 40816 45918 61224 68877 91836 122448 137754 183672 206631 275508 367344 413262 551016 826524 1102032 1653048 3306096