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3064320 = 29325719
BaseRepresentation
bin1011101100001000000000
312202200110100
423230020000
51241024240
6145402400
735021610
oct13541000
95680410
103064320
1118032a6
121039400
13833a0c
1459aa40
15407e30
hex2ec200

3064320 has 240 divisors, whose sum is σ = 12767040. Its totient is φ = 663552.

The previous prime is 3064307. The next prime is 3064337. The reversal of 3064320 is 234603.

3064320 is a `hidden beast` number, since 3 + 0 + 643 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3064293 and 3064302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161271 + ... + 161289.

It is an arithmetic number, because the mean of its divisors is an integer number (53196).

Almost surely, 23064320 is an apocalyptic number.

3064320 is a gapful number since it is divisible by the number (30) 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 3064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383520).

3064320 is an abundant number, since it is smaller than the sum of its proper divisors (9702720).

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

3064320 is a wasteful number, since it uses less digits than its factorization.

3064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3064320 is about 1750.5199227658. The cubic root of 3064320 is about 145.2484049621.

Adding to 3064320 its reverse (234603), we get a palindrome (3298923).

The spelling of 3064320 in words is "three million, sixty-four thousand, three hundred twenty".