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3273468660 = 22335711217421
BaseRepresentation
bin1100001100011101…
…0010101011110100
322110010121102211000
43003013102223310
523201001444120
61300453443300
7144056011260
oct30307225364
98403542730
103273468660
11142a873500
12774340530
13402253107
14230a710a0
151425b1990
hexc31d2af4

3273468660 has 576 divisors, whose sum is σ = 13578001920. Its totient is φ = 638668800.

The previous prime is 3273468631. The next prime is 3273468673. The reversal of 3273468660 is 668643723.

3273468660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7775250 + ... + 7775670.

It is an arithmetic number, because the mean of its divisors is an integer number (23572920).

Almost surely, 23273468660 is an apocalyptic number.

3273468660 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 3273468660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789000960).

3273468660 is an abundant number, since it is smaller than the sum of its proper divisors (10304533260).

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

3273468660 is a wasteful number, since it uses less digits than its factorization.

3273468660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3273468660 is about 57214.2347672325. The cubic root of 3273468660 is about 1484.8049126437.

The spelling of 3273468660 in words is "three billion, two hundred seventy-three million, four hundred sixty-eight thousand, six hundred sixty".