Search a number
-
+
3304849680 = 2433511367379
BaseRepresentation
bin1100010011111100…
…0000000100010000
322112022122202111000
43010333000010100
523232020142210
61303534222000
7144616521156
oct30477000420
98468582430
103304849680
111446557530
12782954900
134088bc872
14234cbd3d6
1514520eac0
hexc4fc0110

3304849680 has 320 divisors, whose sum is σ = 12484915200. Its totient is φ = 796884480.

The previous prime is 3304849637. The next prime is 3304849699. The reversal of 3304849680 is 869484033.

3304849680 is a `hidden beast` number, since 3 + 3 + 0 + 484 + 96 + 80 = 666.

It is a super-2 number, since 2×33048496802 = 21844062814792204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 8719731 + ... + 8720109.

It is an arithmetic number, because the mean of its divisors is an integer number (39015360).

Almost surely, 23304849680 is an apocalyptic number.

3304849680 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 3304849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242457600).

3304849680 is an abundant number, since it is smaller than the sum of its proper divisors (9180065520).

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

3304849680 is a wasteful number, since it uses less digits than its factorization.

3304849680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3304849680 is about 57487.8220147537. The cubic root of 3304849680 is about 1489.5345121911.

It can be divided in two parts, 33048 and 49680, that added together give a palindrome (82728).

The spelling of 3304849680 in words is "three billion, three hundred four million, eight hundred forty-nine thousand, six hundred eighty".