Search a number
-
+
3333144420 = 2232518517469
BaseRepresentation
bin1100011010101011…
…1011111101100100
322121021220021120100
43012222323331210
523311241110140
61310424504100
7145412155134
oct30652737544
98537807510
103333144420
111460522811
1279031b030
13411718608
14238966ac4
1514794d530
hexc6abbf64

3333144420 has 36 divisors (see below), whose sum is σ = 10110538620. Its totient is φ = 888838464.

The previous prime is 3333144413. The next prime is 3333144421. The reversal of 3333144420 is 244413333.

It can be written as a sum of positive squares in 2 ways, for example, as 1560566016 + 1772578404 = 39504^2 + 42102^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33331444202 = 22219703449154272800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3333144421) 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 11 ways as a sum of consecutive naturals, for example, 9258555 + ... + 9258914.

It is an arithmetic number, because the mean of its divisors is an integer number (280848295).

Almost surely, 23333144420 is an apocalyptic number.

3333144420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3333144420 is an abundant number, since it is smaller than the sum of its proper divisors (6777394200).

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

3333144420 is a wasteful number, since it uses less digits than its factorization.

3333144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18517484 (or 18517479 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3333144420 is about 57733.3908583239. The cubic root of 3333144420 is about 1493.7733617490.

Adding to 3333144420 its reverse (244413333), we get a palindrome (3577557753).

The spelling of 3333144420 in words is "three billion, three hundred thirty-three million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18517469 37034938 55552407 74069876 92587345 111104814 166657221 185174690 222209628 277762035 333314442 370349380 555524070 666628884 833286105 1111048140 1666572210 3333144420