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1134344224 = 25132375669
BaseRepresentation
bin100001110011100…
…1011100000100000
32221001110122202001
41003213023200200
54310343003344
6304320533344
740052524006
oct10347134040
92831418661
101134344224
11532342672
12277a81254
13151017100
14aa91ca76
15698bbed4
hex439cb820

1134344224 has 72 divisors (see below), whose sum is σ = 2484038340. Its totient is φ = 509303808.

The previous prime is 1134344203. The next prime is 1134344243. The reversal of 1134344224 is 4224434311.

It can be written as a sum of positive squares in 6 ways, for example, as 247495824 + 886848400 = 15732^2 + 29780^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1134344192 and 1134344201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197262 + ... + 202930.

Almost surely, 21134344224 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 1134344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242019170).

1134344224 is an abundant number, since it is smaller than the sum of its proper divisors (1349694116).

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

1134344224 is a wasteful number, since it uses less digits than its factorization.

1134344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5721 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 1134344224 is about 33680.0270783739. The cubic root of 1134344224 is about 1042.9134970592.

Adding to 1134344224 its reverse (4224434311), we get a palindrome (5358778535).

The spelling of 1134344224 in words is "one billion, one hundred thirty-four million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 169 208 296 338 416 481 592 676 962 1184 1352 1924 2704 3848 5408 5669 6253 7696 11338 12506 15392 22676 25012 45352 50024 73697 90704 100048 147394 181408 200096 209753 294788 419506 589576 839012 958061 1179152 1678024 1916122 2358304 2726789 3356048 3832244 5453578 6712096 7664488 10907156 15328976 21814312 30657952 35448257 43628624 70896514 87257248 141793028 283586056 567172112 1134344224