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3082544640 = 29335723277
BaseRepresentation
bin1011011110111011…
…1110011000000000
321221211100111022000
42313232332120000
522303112412030
61225513344000
7136250124420
oct26756763000
97854314260
103082544640
11134201a45a
12720408000
133a1825c16
14213572480
1513094b860
hexb7bbe600

3082544640 has 640 divisors, whose sum is σ = 13104875520. Its totient is φ = 671514624.

The previous prime is 3082544639. The next prime is 3082544657. The reversal of 3082544640 is 464452803.

3082544640 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 5 + 4 + 4 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3082544595 and 3082544604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11128182 + ... + 11128458.

It is an arithmetic number, because the mean of its divisors is an integer number (20476368).

Almost surely, 23082544640 is an apocalyptic number.

3082544640 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 3082544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552437760).

3082544640 is an abundant number, since it is smaller than the sum of its proper divisors (10022330880).

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

3082544640 is a wasteful number, since it uses less digits than its factorization.

3082544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3082544640 is about 55520.6685838706. The cubic root of 3082544640 is about 1455.3578458765.

The spelling of 3082544640 in words is "three billion, eighty-two million, five hundred forty-four thousand, six hundred forty".