Search a number
-
+
3342223320 = 23352937101257
BaseRepresentation
bin1100011100110110…
…0100011111011000
322121220222112110220
43013031210133120
523321102121240
61311351240040
7145552300212
oct30715443730
98556875426
103342223320
111465663937
12793379020
13413576b47
14239c4b5b2
151486435d0
hexc73647d8

3342223320 has 256 divisors, whose sum is σ = 10800086400. Its totient is φ = 825753600.

The previous prime is 3342223309. The next prime is 3342223351. The reversal of 3342223320 is 233222433.

It is a happy number.

It is a super-3 number, since 3×33422233203 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13004632 + ... + 13004888.

Almost surely, 23342223320 is an apocalyptic number.

3342223320 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 3342223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400043200).

3342223320 is an abundant number, since it is smaller than the sum of its proper divisors (7457863080).

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

3342223320 is a wasteful number, since it uses less digits than its factorization.

3342223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

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

The square root of 3342223320 is about 57811.9651975264. The cubic root of 3342223320 is about 1495.1283909674.

Adding to 3342223320 its reverse (233222433), we get a palindrome (3575445753).

The spelling of 3342223320 in words is "three billion, three hundred forty-two million, two hundred twenty-three thousand, three hundred twenty".