Search a number
-
+
3331320330 = 2351363113537
BaseRepresentation
bin1100011010001111…
…1110101000001010
322121011110121101110
43012203332220022
523310304222310
61310321431150
7145360520112
oct30643765012
98534417343
103331320330
11145a4972a8
1278b79b4b6
1341122a280
14238610042
151476dcd20
hexc68fea0a

3331320330 has 64 divisors (see below), whose sum is σ = 8624464128. Its totient is φ = 818657280.

The previous prime is 3331320329. The next prime is 3331320341. The reversal of 3331320330 is 330231333.

3331320330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33313203302 = 22195390282142617800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3331320297 and 3331320306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239322 + ... + 252858.

It is an arithmetic number, because the mean of its divisors is an integer number (134757252).

Almost surely, 23331320330 is an apocalyptic number.

3331320330 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 3331320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312232064).

3331320330 is an abundant number, since it is smaller than the sum of its proper divisors (5293143798).

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

3331320330 is a wasteful number, since it uses less digits than its factorization.

3331320330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14191.

The product of its (nonzero) digits is 1458, while the sum is 21.

The square root of 3331320330 is about 57717.5911659522. The cubic root of 3331320330 is about 1493.5008188774.

Adding to 3331320330 its reverse (330231333), we get a palindrome (3661551663).

The spelling of 3331320330 in words is "three billion, three hundred thirty-one million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 631 1262 1893 3155 3786 6310 8203 9465 13537 16406 18930 24609 27074 40611 41015 49218 67685 81222 82030 123045 135370 175981 203055 246090 351962 406110 527943 879905 1055886 1759810 2639715 5279430 8541847 17083694 25625541 42709235 51251082 85418470 111044011 128127705 222088022 256255410 333132033 555220055 666264066 1110440110 1665660165 3331320330