Search a number
-
+
3304221300 = 2232524398363
BaseRepresentation
bin1100010011110010…
…0110101001110100
322112021110211111200
43010330212221310
523231340040200
61303512532500
7144611263152
oct30474465164
98467424450
103304221300
111446168406
127826b1130
1340872c843
14234b983d2
15145138800
hexc4f26a74

3304221300 has 108 divisors (see below), whose sum is σ = 10381731360. Its totient is φ = 879013440.

The previous prime is 3304221299. The next prime is 3304221317. The reversal of 3304221300 is 31224033.

3304221300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 390919 + ... + 399281.

Almost surely, 23304221300 is an apocalyptic number.

3304221300 is a gapful number since it is divisible by the number (30) 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 3304221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190865680).

3304221300 is an abundant number, since it is smaller than the sum of its proper divisors (7077510060).

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

3304221300 is a wasteful number, since it uses less digits than its factorization.

3304221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3304221300 is about 57482.3564235149. The cubic root of 3304221300 is about 1489.4401001283.

Adding to 3304221300 its reverse (31224033), we get a palindrome (3335445333).

The spelling of 3304221300 in words is "three billion, three hundred four million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 439 450 878 900 1317 1756 2195 2634 3951 4390 5268 6585 7902 8363 8780 10975 13170 15804 16726 19755 21950 25089 26340 32925 33452 39510 41815 43900 50178 65850 75267 79020 83630 98775 100356 125445 131700 150534 167260 197550 209075 250890 301068 376335 395100 418150 501780 627225 752670 836300 1254450 1505340 1881675 2508900 3671357 3763350 7342714 7526700 11014071 14685428 18356785 22028142 33042213 36713570 44056284 55070355 66084426 73427140 91783925 110140710 132168852 165211065 183567850 220281420 275351775 330422130 367135700 550703550 660844260 826055325 1101407100 1652110650 3304221300