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4234944 = 263723137
BaseRepresentation
bin10000001001111011000000
321222011020210
4100021323000
52041004234
6230434120
750665530
oct20117300
97864223
104234944
11243285a
121502940
13b537ac
147c34c0
15589be9
hex409ec0

4234944 has 112 divisors (see below), whose sum is σ = 13459968. Its totient is φ = 1148928.

The previous prime is 4234943. The next prime is 4234963. The reversal of 4234944 is 4494324.

It is a tau number, because it is divible by the number of its divisors (112).

It is a d-powerful number, because it can be written as 4 + 215 + 33 + 44 + 94 + 45 + 411 .

It is not an unprimeable number, because it can be changed into a prime (4234943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30844 + ... + 30980.

Almost surely, 24234944 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 4234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729984).

4234944 is an abundant number, since it is smaller than the sum of its proper divisors (9225024).

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

4234944 is a wasteful number, since it uses less digits than its factorization.

4234944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 4234944 is about 2057.8979566538. The cubic root of 4234944 is about 161.7890869023.

The spelling of 4234944 in words is "four million, two hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 137 138 161 168 184 192 224 274 276 322 336 368 411 448 483 548 552 644 672 736 822 959 966 1096 1104 1288 1344 1472 1644 1918 1932 2192 2208 2576 2877 3151 3288 3836 3864 4384 4416 5152 5754 6302 6576 7672 7728 8768 9453 10304 11508 12604 13152 15344 15456 18906 22057 23016 25208 26304 30688 30912 37812 44114 46032 50416 61376 66171 75624 88228 92064 100832 132342 151248 176456 184128 201664 264684 302496 352912 529368 604992 705824 1058736 1411648 2117472 4234944