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3422808000 = 263253137347
BaseRepresentation
bin1100110000000011…
…1110011111000000
322211112121122212200
43030000332133000
524002214324000
61323350353200
7150551250033
oct31400763700
98745548780
103422808000
1114a70a4347
127b635b800
134271803a1
1424682701a
15150760500
hexcc03e7c0

3422808000 has 336 divisors, whose sum is σ = 12368869344. Its totient is φ = 903475200.

The previous prime is 3422807987. The next prime is 3422808007. The reversal of 3422808000 is 8082243.

It is a super-3 number, since 3×34228080003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422808007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9863827 + ... + 9864173.

Almost surely, 23422808000 is an apocalyptic number.

3422808000 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 3422808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184434672).

3422808000 is an abundant number, since it is smaller than the sum of its proper divisors (8946061344).

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

3422808000 is a wasteful number, since it uses less digits than its factorization.

3422808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3422808000 is about 58504.7690363786. The cubic root of 3422808000 is about 1507.0494846110.

The spelling of 3422808000 in words is "three billion, four hundred twenty-two million, eight hundred eight thousand".