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1034113140 = 2232512894457
BaseRepresentation
bin111101101000110…
…101000001110100
32200001212101112200
4331220311001310
54104213110030
6250340344500
734424550054
oct7550650164
92601771480
101034113140
11490803565
1224a3a5130
13136322388
149b4ab564
1560bbdd60
hex3da35074

1034113140 has 72 divisors (see below), whose sum is σ = 3139947720. Its totient is φ = 275487744.

The previous prime is 1034113139. The next prime is 1034113151. The reversal of 1034113140 is 413114301.

1034113140 is a `hidden beast` number, since 10 + 341 + 1 + 314 + 0 = 666.

1034113140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 323784036 + 710329104 = 17994^2 + 26652^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229792 + ... + 234248.

It is an arithmetic number, because the mean of its divisors is an integer number (43610385).

Almost surely, 21034113140 is an apocalyptic number.

1034113140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034113140 is an abundant number, since it is smaller than the sum of its proper divisors (2105834580).

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

1034113140 is a wasteful number, since it uses less digits than its factorization.

1034113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1034113140 is about 32157.6295768205. The cubic root of 1034113140 is about 1011.2441420675.

Adding to 1034113140 its reverse (413114301), we get a palindrome (1447227441).

The spelling of 1034113140 in words is "one billion, thirty-four million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1289 2578 3867 4457 5156 6445 7734 8914 11601 12890 13371 15468 17828 19335 22285 23202 25780 26742 38670 40113 44570 46404 53484 58005 66855 77340 80226 89140 116010 133710 160452 200565 232020 267420 401130 802260 5745073 11490146 17235219 22980292 28725365 34470438 51705657 57450730 68940876 86176095 103411314 114901460 172352190 206822628 258528285 344704380 517056570 1034113140