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1134140329 = 721722832
BaseRepresentation
bin100001110011001…
…1001101110101001
32221001002022001101
41003212121232221
54310314442304
6304312321401
740051014400
oct10346315651
92831068041
101134140329
11532213463
122779a3261
13150c7536a
14aa8a8637
156987b8a4
hex43999ba9

1134140329 has 27 divisors (see below), whose sum is σ = 1406447127. Its totient is φ = 911703744.

The previous prime is 1134140311. The next prime is 1134140333. The reversal of 1134140329 is 9230414311.

The square root of 1134140329 is 33677.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 882981225 + 251159104 = 29715^2 + 15848^2 .

It is not a de Polignac number, because 1134140329 - 27 = 1134140201 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1134140297 and 1134140306.

It is not an unprimeable number, because it can be changed into a prime (1134140339) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4007422 + ... + 4007704.

Almost surely, 21134140329 is an apocalyptic number.

1134140329 is the 33677-th square number.

1134140329 is the 16839-th centered octagonal number.

It is an amenable number.

1134140329 is a deficient number, since it is larger than the sum of its proper divisors (272306798).

1134140329 is an frugal number, since it uses more digits than its factorization.

1134140329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 1134140329 is about 1042.8510064486.

The spelling of 1134140329 in words is "one billion, one hundred thirty-four million, one hundred forty thousand, three hundred twenty-nine".

Divisors: 1 7 17 49 119 283 289 833 1981 2023 4811 13867 14161 33677 80089 81787 235739 560623 572509 1361513 3924361 4007563 9530591 23145721 66714137 162020047 1134140329