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4295340288 = 28321864297
BaseRepresentation
bin1000000000000010…
…11011000100000000
3102002100102220011100
410000001123010000
532244101342123
61550120014400
7211304534661
oct40001330400
912070386140
104295340288
111904675808
129ba601400
13535b7a595
142ca673368
151a2163643
hex10005b100

4295340288 has 54 divisors (see below), whose sum is σ = 12384531614. Its totient is φ = 1431779328.

The previous prime is 4295340281. The next prime is 4295340289. The reversal of 4295340288 is 8820435924.

4295340288 is a `hidden beast` number, since 4 + 29 + 5 + 340 + 288 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3406823424 + 888516864 = 58368^2 + 29808^2 .

It is not an unprimeable number, because it can be changed into a prime (4295340281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 929845 + ... + 934452.

Almost surely, 24295340288 is an apocalyptic number.

4295340288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4295340288 is an abundant number, since it is smaller than the sum of its proper divisors (8089191326).

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

4295340288 is a wasteful number, since it uses less digits than its factorization.

4295340288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864319 (or 1864302 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4295340288 is about 65538.8456413446. The cubic root of 4295340288 is about 1625.5457307714.

The spelling of 4295340288 in words is "four billion, two hundred ninety-five million, three hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1864297 3728594 5592891 7457188 11185782 14914376 16778673 22371564 29828752 33557346 44743128 59657504 67114692 89486256 119315008 134229384 178972512 238630016 268458768 357945024 477260032 536917536 715890048 1073835072 1431780096 2147670144 4295340288