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1024343120 = 24512804289
BaseRepresentation
bin111101000011100…
…011110001010000
32122101111000121002
4331003203301100
54044212434440
6245351121132
734245526043
oct7503436120
92571430532
101024343120
11486240169
122470731a8
131342b13b8
149a086c5a
155edde115
hex3d0e3c50

1024343120 has 20 divisors (see below), whose sum is σ = 2381597940. Its totient is φ = 409737216.

The previous prime is 1024343077. The next prime is 1024343129. The reversal of 1024343120 is 213434201.

It can be written as a sum of positive squares in 2 ways, for example, as 600642064 + 423701056 = 24508^2 + 20584^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1024343092 and 1024343101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024343129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6402065 + ... + 6402224.

It is an arithmetic number, because the mean of its divisors is an integer number (119079897).

Almost surely, 21024343120 is an apocalyptic number.

1024343120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024343120 is an abundant number, since it is smaller than the sum of its proper divisors (1357254820).

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

1024343120 is a wasteful number, since it uses less digits than its factorization.

1024343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12804302 (or 12804296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1024343120 is about 32005.3608009658. The cubic root of 1024343120 is about 1008.0494065394.

Adding to 1024343120 its reverse (213434201), we get a palindrome (1237777321).

The spelling of 1024343120 in words is "one billion, twenty-four million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12804289 25608578 51217156 64021445 102434312 128042890 204868624 256085780 512171560 1024343120