Search a number
-
+
4284348 = 2231922343
BaseRepresentation
bin10000010101111110111100
322001200000120
4100111332330
52044044343
6231454540
751262545
oct20257674
98050016
104284348
112466992
121527450
13b70123
147d74cc
15599683
hex415fbc

4284348 has 72 divisors (see below), whose sum is σ = 11265408. Its totient is φ = 1264032.

The previous prime is 4284331. The next prime is 4284349. The reversal of 4284348 is 8434824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99615 + ... + 99657.

It is an arithmetic number, because the mean of its divisors is an integer number (156464).

Almost surely, 24284348 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 4284348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632704).

4284348 is an abundant number, since it is smaller than the sum of its proper divisors (6981060).

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

4284348 is a wasteful number, since it uses less digits than its factorization.

4284348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 4284348 is about 2069.8666623722. The cubic root of 4284348 is about 162.4157891093.

The spelling of 4284348 in words is "four million, two hundred eighty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 23 38 43 46 57 69 76 86 92 114 129 138 172 228 258 276 361 437 516 722 817 874 989 1083 1311 1444 1634 1748 1978 2166 2451 2622 2967 3268 3956 4332 4902 5244 5934 8303 9804 11868 15523 16606 18791 24909 31046 33212 37582 46569 49818 56373 62092 75164 93138 99636 112746 186276 225492 357029 714058 1071087 1428116 2142174 4284348