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3275088000 = 2735331271
BaseRepresentation
bin1100001100110101…
…1110000010000000
322110020122201010120
43003031132002000
523201410304000
61300552300240
7144105534342
oct30315360200
98406581116
103275088000
11143077a0a8
127749a1680
1340269c1c2
14230d73292
151427d16a0
hexc335e080

3275088000 has 384 divisors, whose sum is σ = 11376443520. Its totient is φ = 833280000.

The previous prime is 3275087971. The next prime is 3275088017. The reversal of 3275088000 is 8805723.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46127965 + ... + 46128035.

It is an arithmetic number, because the mean of its divisors is an integer number (29626155).

Almost surely, 23275088000 is an apocalyptic number.

3275088000 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 3275088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688221760).

3275088000 is an abundant number, since it is smaller than the sum of its proper divisors (8101355520).

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

3275088000 is an equidigital number, since it uses as much as digits as its factorization.

3275088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 3275088000 is about 57228.3845657031. The cubic root of 3275088000 is about 1485.0497098167.

The spelling of 3275088000 in words is "three billion, two hundred seventy-five million, eighty-eight thousand".