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4201344 = 27327521
BaseRepresentation
bin10000000001101110000000
321220110011100
4100001232000
52033420334
6230014400
750465550
oct20015600
97813140
104201344
11240a594
1214a7400
13b41404
147b5160
1557ec99
hex401b80

4201344 has 96 divisors (see below), whose sum is σ = 13843440. Its totient is φ = 1198080.

The previous prime is 4201343. The next prime is 4201357. The reversal of 4201344 is 4431024.

It is a tau number, because it is divible by the number of its divisors (96).

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 (4201343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7804 + ... + 8324.

Almost surely, 24201344 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 4201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921720).

4201344 is an abundant number, since it is smaller than the sum of its proper divisors (9642096).

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

4201344 is a wasteful number, since it uses less digits than its factorization.

4201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4201344 is about 2049.7180293884. The cubic root of 4201344 is about 161.3600726726.

Adding to 4201344 its reverse (4431024), we get a palindrome (8632368).

It can be divided in two parts, 420 and 1344, that added together give a square (1764 = 422).

The spelling of 4201344 in words is "four million, two hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 521 576 672 896 1008 1042 1152 1344 1563 2016 2084 2688 3126 3647 4032 4168 4689 6252 7294 8064 8336 9378 10941 12504 14588 16672 18756 21882 25008 29176 32823 33344 37512 43764 50016 58352 65646 66688 75024 87528 100032 116704 131292 150048 175056 200064 233408 262584 300096 350112 466816 525168 600192 700224 1050336 1400448 2100672 4201344