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3216096 = 253213859
BaseRepresentation
bin1100010001001011100000
320001101122200
430101023200
51310403341
6152533200
736223242
oct14211340
96041580
103216096
1118a7334
1210b1200
13887b20
145da092
15437db6
hex3112e0

3216096 has 72 divisors (see below), whose sum is σ = 9860760. Its totient is φ = 988416.

The previous prime is 3216091. The next prime is 3216107. The reversal of 3216096 is 6906123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3216091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3315 + ... + 4173.

It is an arithmetic number, because the mean of its divisors is an integer number (136955).

Almost surely, 23216096 is an apocalyptic number.

3216096 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 3216096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930380).

3216096 is an abundant number, since it is smaller than the sum of its proper divisors (6644664).

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

3216096 is a wasteful number, since it uses less digits than its factorization.

3216096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3216096 is about 1793.3477075013. The cubic root of 3216096 is about 147.6079225483.

Adding to 3216096 its sum of digits (27), we get a palindrome (3216123).

The spelling of 3216096 in words is "three million, two hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 859 936 1248 1718 1872 2577 3436 3744 5154 6872 7731 10308 11167 13744 15462 20616 22334 27488 30924 33501 41232 44668 61848 67002 82464 89336 100503 123696 134004 178672 201006 247392 268008 357344 402012 536016 804024 1072032 1608048 3216096