Search a number
-
+
4305664 = 28112139
BaseRepresentation
bin10000011011001100000000
322002202021001
4100123030000
52100240124
6232141344
751411646
oct20331400
98082231
104305664
112480a00
121537854
13b79a3c
14801196
155a0b44
hex41b300

4305664 has 54 divisors (see below), whose sum is σ = 9514820. Its totient is φ = 1943040.

The previous prime is 4305661. The next prime is 4305673. The reversal of 4305664 is 4665034.

It is not an unprimeable number, because it can be changed into a prime (4305661) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 30907 + ... + 31045.

Almost surely, 24305664 is an apocalyptic number.

4305664 is a gapful number since it is divisible by the number (44) 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 4305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757410).

4305664 is an abundant number, since it is smaller than the sum of its proper divisors (5209156).

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

4305664 is a wasteful number, since it uses less digits than its factorization.

4305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4305664 is about 2075.0093975691. The cubic root of 4305664 is about 162.6847004402.

The spelling of 4305664 in words is "four million, three hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 139 176 242 256 278 352 484 556 704 968 1112 1408 1529 1936 2224 2816 3058 3872 4448 6116 7744 8896 12232 15488 16819 17792 24464 30976 33638 35584 48928 67276 97856 134552 195712 269104 391424 538208 1076416 2152832 4305664