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1024340031 = 321113795913
BaseRepresentation
bin111101000011100…
…011000000111111
32122101110212100200
4331003203000333
54044212340111
6245351054543
734245514041
oct7503430077
92571425320
101024340031
11486238910
12247071453
131342acb80
149a085a91
155eddd256
hex3d0e303f

1024340031 has 24 divisors (see below), whose sum is σ = 1738276176. Its totient is φ = 573056640.

The previous prime is 1024340017. The next prime is 1024340039. The reversal of 1024340031 is 1300434201.

It is not a de Polignac number, because 1024340031 - 27 = 1024339903 is a prime.

It is a super-2 number, since 2×10243400312 = 2098544998218161922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024339986 and 1024340013.

It is a congruent number.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396670 + ... + 399243.

It is an arithmetic number, because the mean of its divisors is an integer number (72428174).

Almost surely, 21024340031 is an apocalyptic number.

1024340031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1024340031 is a deficient number, since it is larger than the sum of its proper divisors (713936145).

1024340031 is a wasteful number, since it uses less digits than its factorization.

1024340031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795943 (or 795940 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1024340031 is about 32005.3125433888. The cubic root of 1024340031 is about 1008.0483932501.

Adding to 1024340031 its reverse (1300434201), we get a palindrome (2324774232).

The spelling of 1024340031 in words is "one billion, twenty-four million, three hundred forty thousand, thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 795913 2387739 7163217 8755043 10346869 26265129 31040607 78795387 93121821 113815559 341446677 1024340031