Search a number
-
+
4405302 = 23211191171
BaseRepresentation
bin10000110011100000110110
322021210221100
4100303200312
52111432202
6234230530
752305306
oct20634066
98253840
104405302
112539850
121585446
13bb31b5
14829606
155c041c
hex433836

4405302 has 48 divisors (see below), whose sum is σ = 10969920. Its totient is φ = 1263600.

The previous prime is 4405267. The next prime is 4405309. The reversal of 4405302 is 2035044.

It is a happy number.

It is a super-2 number, since 2×44053022 = 38813371422408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3177 + ... + 4347.

It is an arithmetic number, because the mean of its divisors is an integer number (228540).

Almost surely, 24405302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4405302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484960).

4405302 is an abundant number, since it is smaller than the sum of its proper divisors (6564618).

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

4405302 is a wasteful number, since it uses less digits than its factorization.

4405302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4405302 is about 2098.8811305074. The cubic root of 4405302 is about 163.9300465093.

The spelling of 4405302 in words is "four million, four hundred five thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1171 1254 1881 2342 3513 3762 7026 10539 12881 21078 22249 25762 38643 44498 66747 77286 115929 133494 200241 231858 244739 400482 489478 734217 1468434 2202651 4405302