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3342022320 = 2435713279149
BaseRepresentation
bin1100011100110011…
…0011011010110000
322121220121022202110
43013030303122300
523321024203240
61311343045320
7145550502210
oct30714633260
98556538673
103342022320
11146553691a
127932a0840
13413506500
14239bd8240
15148603c80
hexc73336b0

3342022320 has 480 divisors, whose sum is σ = 13070592000. Its totient is φ = 691531776.

The previous prime is 3342022319. The next prime is 3342022339. The reversal of 3342022320 is 232202433.

3342022320 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 2×33420223202 = 22338226374756364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22429606 + ... + 22429754.

It is an arithmetic number, because the mean of its divisors is an integer number (27230400).

Almost surely, 23342022320 is an apocalyptic number.

3342022320 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 3342022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535296000).

3342022320 is an abundant number, since it is smaller than the sum of its proper divisors (9728569680).

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

3342022320 is a wasteful number, since it uses less digits than its factorization.

3342022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3342022320 is about 57810.2267769294. The cubic root of 3342022320 is about 1495.0984182215.

Adding to 3342022320 its reverse (232202433), we get a palindrome (3574224753).

The spelling of 3342022320 in words is "three billion, three hundred forty-two million, twenty-two thousand, three hundred twenty".