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2304064 = 26737139
BaseRepresentation
bin1000110010100001000000
311100001120201
420302201000
51042212224
6121214544
725404250
oct10624100
94301521
102304064
111334094
12931454
13628969
1443d960
15307a44
hex232840

2304064 has 56 divisors (see below), whose sum is σ = 5405120. Its totient is φ = 953856.

The previous prime is 2304059. The next prime is 2304089. The reversal of 2304064 is 4604032.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16507 + ... + 16645.

It is an arithmetic number, because the mean of its divisors is an integer number (96520).

22304064 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 2304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702560).

2304064 is an abundant number, since it is smaller than the sum of its proper divisors (3101056).

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

2304064 is a wasteful number, since it uses less digits than its factorization.

2304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2304064 is about 1517.9143585855. The cubic root of 2304064 is about 132.0783128805.

Adding to 2304064 its reverse (4604032), we get a palindrome (6908096).

Subtracting 2304064 from its reverse (4604032), we obtain a cube (2299968 = 1323).

It can be divided in two parts, 23040 and 64, that added together give a square (23104 = 1522).

The spelling of 2304064 in words is "two million, three hundred four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 139 148 224 259 278 296 448 518 556 592 973 1036 1112 1184 1946 2072 2224 2368 3892 4144 4448 5143 7784 8288 8896 10286 15568 16576 20572 31136 36001 41144 62272 72002 82288 144004 164576 288008 329152 576016 1152032 2304064