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3045075768 = 233571713163
BaseRepresentation
bin1011010110000000…
…0010101100111000
321212012211212200000
42311200002230320
522214014411033
61222054313000
7135313500630
oct26540025470
97765755600
103045075768
111322958549
1270b958760
13396b374a7
1420c5bb6c0
1512c4e9a13
hexb5802b38

3045075768 has 192 divisors, whose sum is σ = 10350063360. Its totient is φ = 818781696.

The previous prime is 3045075767. The next prime is 3045075769. The reversal of 3045075768 is 8675705403.

3045075768 is a `hidden beast` number, since 30 + 4 + 507 + 57 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (3045075767) and next prime (3045075769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3045075767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224755 + ... + 237917.

It is an arithmetic number, because the mean of its divisors is an integer number (53906580).

Almost surely, 23045075768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3045075768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175031680).

3045075768 is an abundant number, since it is smaller than the sum of its proper divisors (7304987592).

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

3045075768 is a wasteful number, since it uses less digits than its factorization.

3045075768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13208 (or 13192 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3045075768 is about 55182.2051752193. The cubic root of 3045075768 is about 1449.4370812146.

The spelling of 3045075768 in words is "three billion, forty-five million, seventy-five thousand, seven hundred sixty-eight".