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1138344678 = 2356133821
BaseRepresentation
bin100001111011001…
…1100001011100110
32221022222220100000
41003312130023212
54312404012203
6304542402130
740131525102
oct10366341346
92838886300
101138344678
11534625229
12279290346
13151ab7c43
14ab280902
1569e0c4a3
hex43d9c2e6

1138344678 has 48 divisors (see below), whose sum is σ = 2562605136. Its totient is φ = 378730080.

The previous prime is 1138344659. The next prime is 1138344703. The reversal of 1138344678 is 8764438311.

1138344678 is a `hidden beast` number, since 1 + 138 + 3 + 446 + 78 = 666.

1138344678 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 296008 + ... + 299828.

It is an arithmetic number, because the mean of its divisors is an integer number (53387607).

Almost surely, 21138344678 is an apocalyptic number.

1138344678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138344678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281302568).

1138344678 is an abundant number, since it is smaller than the sum of its proper divisors (1424260458).

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

1138344678 is an equidigital number, since it uses as much as digits as its factorization.

1138344678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4439 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1138344678 is about 33739.3639240576. The cubic root of 1138344678 is about 1044.1380614086.

The spelling of 1138344678 in words is "one billion, one hundred thirty-eight million, three hundred forty-four thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 613 1226 1839 3678 3821 5517 7642 11034 11463 16551 22926 33102 34389 49653 68778 99306 103167 148959 206334 297918 309501 619002 928503 1857006 2342273 4684546 7026819 14053638 21080457 42160914 63241371 126482742 189724113 379448226 569172339 1138344678