Search a number
-
+
3343220430 = 23511192397239
BaseRepresentation
bin1100011101000101…
…0111111011001110
322121222212012020220
43013101113323032
523321331023210
61311424452210
7145563622224
oct30721277316
98558765226
103343220430
111466184aa0
1279377a066
13413835954
1423a02ab14
1514878dc70
hexc7457ece

3343220430 has 256 divisors, whose sum is σ = 9754214400. Its totient is φ = 723824640.

The previous prime is 3343220399. The next prime is 3343220437. The reversal of 3343220430 is 340223433.

It is a super-2 number, since 2×33432204302 = 22354245687138769800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3343220430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343220437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13988251 + ... + 13988489.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 23343220430 is an apocalyptic number.

3343220430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343220430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877107200).

3343220430 is an abundant number, since it is smaller than the sum of its proper divisors (6410993970).

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

3343220430 is a wasteful number, since it uses less digits than its factorization.

3343220430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399.

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3343220430 is about 57820.5882882559. The cubic root of 3343220430 is about 1495.2770603907.

Adding to 3343220430 its reverse (340223433), we get a palindrome (3683443863).

The spelling of 3343220430 in words is "three billion, three hundred forty-three million, two hundred twenty thousand, four hundred thirty".