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1134434340 = 22325131672903
BaseRepresentation
bin100001110011110…
…0001100000100100
32221001122020100200
41003213201200210
54310403344330
6304322510500
740053350514
oct10347414044
92831566320
101134434340
115323a4346
12277b05430
13151049130
14aa943844
15698d8a60
hex439e1824

1134434340 has 144 divisors (see below), whose sum is σ = 3729293568. Its totient is φ = 277477632.

The previous prime is 1134434339. The next prime is 1134434341. The reversal of 1134434340 is 434344311.

It is an interprime number because it is at equal distance from previous prime (1134434339) and next prime (1134434341).

It is not an unprimeable number, because it can be changed into a prime (1134434341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389329 + ... + 392231.

It is an arithmetic number, because the mean of its divisors is an integer number (25897872).

Almost surely, 21134434340 is an apocalyptic number.

1134434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864646784).

1134434340 is an abundant number, since it is smaller than the sum of its proper divisors (2594859228).

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

1134434340 is a wasteful number, since it uses less digits than its factorization.

1134434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1134434340 is about 33681.3648773324. The cubic root of 1134434340 is about 1042.9411138096.

Adding to 1134434340 its reverse (434344311), we get a palindrome (1568778651).

The spelling of 1134434340 in words is "one billion, one hundred thirty-four million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 167 180 195 234 260 334 390 468 501 585 668 780 835 1002 1170 1503 1670 2004 2171 2340 2505 2903 3006 3340 4342 5010 5806 6012 6513 7515 8684 8709 10020 10855 11612 13026 14515 15030 17418 19539 21710 26052 26127 29030 30060 32565 34836 37739 39078 43420 43545 52254 58060 65130 75478 78156 87090 97695 104508 113217 130260 130635 150956 174180 188695 195390 226434 261270 339651 377390 390780 452868 484801 522540 566085 679302 754780 969602 1132170 1358604 1454403 1698255 1939204 2264340 2424005 2908806 3396510 4363209 4848010 5817612 6302413 6793020 7272015 8726418 9696020 12604826 14544030 17452836 18907239 21816045 25209652 29088060 31512065 37814478 43632090 56721717 63024130 75628956 87264180 94536195 113443434 126048260 189072390 226886868 283608585 378144780 567217170 1134434340