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1134203424 = 2531071091013
BaseRepresentation
bin100001110011010…
…1001001000100000
32221001012111121020
41003212221020200
54310324002144
6304313525440
740051366344
oct10346511040
92831174536
101134203424
11532256902
12277a13880
13150c97cb3
14aa8c3624
1569890419
hex439a9220

1134203424 has 96 divisors (see below), whose sum is σ = 3035672640. Its totient is φ = 370732032.

The previous prime is 1134203407. The next prime is 1134203429. The reversal of 1134203424 is 4243024311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1134203394 and 1134203403.

It is not an unprimeable number, because it can be changed into a prime (1134203429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119142 + ... + 1120154.

It is an arithmetic number, because the mean of its divisors is an integer number (31621590).

Almost surely, 21134203424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517836320).

1134203424 is an abundant number, since it is smaller than the sum of its proper divisors (1901469216).

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

1134203424 is a wasteful number, since it uses less digits than its factorization.

1134203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1134203424 is about 33677.9367539046. The cubic root of 1134203424 is about 1042.8703448739.

Adding to 1134203424 its reverse (4243024311), we get a palindrome (5377227735).

The spelling of 1134203424 in words is "one billion, one hundred thirty-four million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 109 214 218 321 327 428 436 642 654 856 872 1013 1284 1308 1712 1744 2026 2568 2616 3039 3424 3488 4052 5136 5232 6078 8104 10272 10464 11663 12156 16208 23326 24312 32416 34989 46652 48624 69978 93304 97248 108391 110417 139956 186608 216782 220834 279912 325173 331251 373216 433564 441668 559824 650346 662502 867128 883336 1119648 1300692 1325004 1734256 1766672 2601384 2650008 3468512 3533344 5202768 5300016 10405536 10600032 11814619 23629238 35443857 47258476 70887714 94516952 141775428 189033904 283550856 378067808 567101712 1134203424