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3288046680 = 2332529476701
BaseRepresentation
bin1100001111111011…
…1001110001011000
322111011001002002200
43003332321301120
523213214443210
61302134130200
7144323635632
oct30376716130
98434032080
103288046680
111438020156
127791b0960
13405288669
14232987a52
151439e10c0
hexc3fb9c58

3288046680 has 192 divisors, whose sum is σ = 11291529600. Its totient is φ = 828441600.

The previous prime is 3288046669. The next prime is 3288046711. The reversal of 3288046680 is 866408823.

It is a happy number.

3288046680 is a `hidden beast` number, since 32 + 8 + 80 + 466 + 80 = 666.

It is a super-2 number, since 2×32880466802 = 21622501939718044800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 487330 + ... + 494030.

It is an arithmetic number, because the mean of its divisors is an integer number (58810050).

Almost surely, 23288046680 is an apocalyptic number.

3288046680 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 3288046680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645764800).

3288046680 is an abundant number, since it is smaller than the sum of its proper divisors (8003482920).

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

3288046680 is a wasteful number, since it uses less digits than its factorization.

3288046680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3288046680 is about 57341.4917838732. The cubic root of 3288046680 is about 1487.0057853034.

The spelling of 3288046680 in words is "three billion, two hundred eighty-eight million, forty-six thousand, six hundred eighty".