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2706382368 = 2535348043
BaseRepresentation
bin1010000101010000…
…0001111000100000
320222121112110200000
42201110001320200
521020313213433
61124315100000
7124031604414
oct24124017040
96877473600
102706382368
111169756148
12636441600
1334190c7b1
141b9614d44
1510c8e6113
hexa1501e20

2706382368 has 72 divisors (see below), whose sum is σ = 7981345008. Its totient is φ = 902124864.

The previous prime is 2706382361. The next prime is 2706382373. The reversal of 2706382368 is 8632836072.

2706382368 is a `hidden beast` number, since 2 + 7 + 0 + 638 + 2 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2706382361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166246 + ... + 181797.

It is an arithmetic number, because the mean of its divisors is an integer number (110852014).

Almost surely, 22706382368 is an apocalyptic number.

It is an amenable number.

2706382368 is an abundant number, since it is smaller than the sum of its proper divisors (5274962640).

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

2706382368 is an equidigital number, since it uses as much as digits as its factorization.

2706382368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348068 (or 348048 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2706382368 is about 52022.9023411805. The cubic root of 2706382368 is about 1393.5729840193.

The spelling of 2706382368 in words is "two billion, seven hundred six million, three hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 348043 696086 1044129 1392172 2088258 2784344 3132387 4176516 5568688 6264774 8353032 9397161 11137376 12529548 16706064 18794322 25059096 28191483 33412128 37588644 50118192 56382966 75177288 84574449 100236384 112765932 150354576 169148898 225531864 300709152 338297796 451063728 676595592 902127456 1353191184 2706382368