Search a number
-
+
4201034320 = 245736720441
BaseRepresentation
bin1111101001100110…
…1011001001010000
3101211202222122200201
43322121223021100
532100431044240
61532510424544
7206051126320
oct37231531120
911752878621
104201034320
11186641329a
12992b02154
1351c47b732
142bbd25280
15198c35d9a
hexfa66b250

4201034320 has 80 divisors (see below), whose sum is σ = 11193712128. Its totient is φ = 1436359680.

The previous prime is 4201034303. The next prime is 4201034329. The reversal of 4201034320 is 234301024.

4201034320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201034329) 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, 195300 + ... + 215740.

Almost surely, 24201034320 is an apocalyptic number.

4201034320 is a gapful number since it is divisible by the number (40) 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 4201034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596856064).

4201034320 is an abundant number, since it is smaller than the sum of its proper divisors (6992677808).

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

4201034320 is a wasteful number, since it uses less digits than its factorization.

4201034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20828 (or 20822 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4201034320 is about 64815.3864448867. The cubic root of 4201034320 is about 1613.5610797187.

Adding to 4201034320 its reverse (234301024), we get a palindrome (4435335344).

The spelling of 4201034320 in words is "four billion, two hundred one million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 367 560 734 1468 1835 2569 2936 3670 5138 5872 7340 10276 12845 14680 20441 20552 25690 29360 40882 41104 51380 81764 102205 102760 143087 163528 204410 205520 286174 327056 408820 572348 715435 817640 1144696 1430870 1635280 2289392 2861740 5723480 7501847 11446960 15003694 30007388 37509235 52512929 60014776 75018470 105025858 120029552 150036940 210051716 262564645 300073880 420103432 525129290 600147760 840206864 1050258580 2100517160 4201034320