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3422200320 = 29335711643
BaseRepresentation
bin1100101111111010…
…1010001000000000
322211111110210022000
43023332222020000
524002040402240
61323325344000
7150543136260
oct31376521000
98744423260
103422200320
1114a6819830
127b6108000
13426cc9906
142467097a0
15150690430
hexcbfaa200

3422200320 has 640 divisors, whose sum is σ = 15179028480. Its totient is φ = 710000640.

The previous prime is 3422200319. The next prime is 3422200343. The reversal of 3422200320 is 230022243.

3422200320 is a `hidden beast` number, since 342 + 2 + 2 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×34222003203 (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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 3422200293 and 3422200302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5321919 + ... + 5322561.

It is an arithmetic number, because the mean of its divisors is an integer number (23717232).

Almost surely, 23422200320 is an apocalyptic number.

3422200320 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 3422200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589514240).

3422200320 is an abundant number, since it is smaller than the sum of its proper divisors (11756828160).

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

3422200320 is a wasteful number, since it uses less digits than its factorization.

3422200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3422200320 is about 58499.5753830744. The cubic root of 3422200320 is about 1506.9602929266.

Adding to 3422200320 its reverse (230022243), we get a palindrome (3652222563).

The spelling of 3422200320 in words is "three billion, four hundred twenty-two million, two hundred thousand, three hundred twenty".