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3085064640 = 2632571371117
BaseRepresentation
bin1011011111100010…
…0101100111000000
321222000002112002100
42313320211213000
522304234032030
61230043350400
7136310421360
oct26770454700
97860075070
103085064640
1113434907a9
12721222400
133a21c8c48
14213a2a9a0
15130c98360
hexb7e259c0

3085064640 has 336 divisors, whose sum is σ = 12226698432. Its totient is φ = 699383808.

The previous prime is 3085064623. The next prime is 3085064657. The reversal of 3085064640 is 464605803.

3085064640 is a `hidden beast` number, since 3 + 0 + 8 + 5 + 0 + 6 + 4 + 640 = 666.

3085064640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3085064623) and next prime (3085064657).

It is a tau number, because it is divible by the number of its divisors (336).

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 = 3085064595 and 3085064604.

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, 2761362 + ... + 2762478.

Almost surely, 23085064640 is an apocalyptic number.

3085064640 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 3085064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113349216).

3085064640 is an abundant number, since it is smaller than the sum of its proper divisors (9141633792).

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

3085064640 is a wasteful number, since it uses less digits than its factorization.

3085064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3085064640 is about 55543.3581987982. The cubic root of 3085064640 is about 1455.7543259767.

The spelling of 3085064640 in words is "three billion, eighty-five million, sixty-four thousand, six hundred forty".