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4304228652 = 22335921072
BaseRepresentation
bin1000000001000110…
…10101000100101100
3102002222011110201000
410000203111010230
532303340304102
61551034320300
7211443224403
oct40043250454
912088143630
104304228652
111909696769
12a01589090
13537970179
142cb90863a
151a2d1c01c
hex1008d512c

4304228652 has 108 divisors (see below), whose sum is σ = 11458534360. Its totient is φ = 1397243664.

The previous prime is 4304228639. The next prime is 4304228681. The reversal of 4304228652 is 2568224034.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40226383 + ... + 40226489.

Almost surely, 24304228652 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 4304228652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729267180).

4304228652 is an abundant number, since it is smaller than the sum of its proper divisors (7154305708).

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

4304228652 is a wasteful number, since it uses less digits than its factorization.

4304228652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4304228652 is about 65606.6204890939. The cubic root of 4304228652 is about 1626.6662075792. Note that the first 3 decimals are identical.

The spelling of 4304228652 in words is "four billion, three hundred four million, two hundred twenty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 107 108 118 177 214 236 321 354 428 531 642 708 963 1062 1284 1593 1926 2124 2889 3186 3481 3852 5778 6313 6372 6962 10443 11449 11556 12626 13924 18939 20886 22898 25252 31329 34347 37878 41772 45796 56817 62658 68694 75756 93987 103041 113634 125316 137388 170451 187974 206082 227268 309123 340902 372467 375948 412164 618246 675491 681804 744934 1117401 1236492 1350982 1489868 2026473 2234802 2701964 3352203 4052946 4469604 6079419 6704406 8105892 10056609 12158838 13408812 18238257 20113218 24317676 36476514 39853969 40226436 72953028 79707938 119561907 159415876 239123814 358685721 478247628 717371442 1076057163 1434742884 2152114326 4304228652