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1024340032 = 2617941489
BaseRepresentation
bin111101000011100…
…011000001000000
32122101110212100201
4331003203001000
54044212340112
6245351054544
734245514042
oct7503430100
92571425321
101024340032
11486238911
12247071454
131342acb81
149a085a92
155eddd257
hex3d0e3040

1024340032 has 28 divisors (see below), whose sum is σ = 2152246140. Its totient is φ = 482041856.

The previous prime is 1024340017. The next prime is 1024340039. The reversal of 1024340032 is 2300434201.

It can be written as a sum of positive squares in 2 ways, for example, as 918332416 + 106007616 = 30304^2 + 10296^2 .

It is a super-2 number, since 2×10243400322 = 2098545002315522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024339991 and 1024340009.

It is not an unprimeable number, because it can be changed into a prime (1024340039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 469657 + ... + 471832.

Almost surely, 21024340032 is an apocalyptic number.

It is an amenable number.

1024340032 is an abundant number, since it is smaller than the sum of its proper divisors (1127906108).

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

1024340032 is an equidigital number, since it uses as much as digits as its factorization.

1024340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941518 (or 941508 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1024340032 is about 32005.3125590112. The cubic root of 1024340032 is about 1008.0483935782.

Adding to 1024340032 its reverse (2300434201), we get a palindrome (3324774233).

It can be divided in two parts, 1024 and 340032, that added together give a square (341056 = 5842).

The spelling of 1024340032 in words is "one billion, twenty-four million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 941489 1882978 3765956 7531912 15063824 16005313 30127648 32010626 60255296 64021252 128042504 256085008 512170016 1024340032