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1314043434 = 2321171211443
BaseRepresentation
bin100111001010010…
…1011011000101010
310101120121022201100
41032110223120222
510142343342214
6334220302230
744364120264
oct11624533052
93346538640
101314043434
1161481a310
123080a1976
1317c3140c2
14c6738b34
157a566309
hex4e52b62a

1314043434 has 96 divisors (see below), whose sum is σ = 3171737088. Its totient is φ = 389844000.

The previous prime is 1314043421. The next prime is 1314043459. The reversal of 1314043434 is 4343404131.

1314043434 is a `hidden beast` number, since 1 + 314 + 0 + 4 + 343 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1314043398 and 1314043407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2966017 + ... + 2966459.

It is an arithmetic number, because the mean of its divisors is an integer number (33038928).

Almost surely, 21314043434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314043434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585868544).

1314043434 is an abundant number, since it is smaller than the sum of its proper divisors (1857693654).

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

1314043434 is a wasteful number, since it uses less digits than its factorization.

1314043434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 741 counting only the distinct ones).

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

The square root of 1314043434 is about 36249.7370197357. The cubic root of 1314043434 is about 1095.3087913760.

Adding to 1314043434 its reverse (4343404131), we get a palindrome (5657447565).

The spelling of 1314043434 in words is "one billion, three hundred fourteen million, forty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 211 213 422 426 443 633 639 781 886 1266 1278 1329 1562 1899 2321 2343 2658 3798 3987 4642 4686 4873 6963 7029 7974 9746 13926 14058 14619 14981 20889 29238 29962 31453 41778 43857 44943 62906 87714 89886 93473 94359 134829 164791 186946 188718 269658 280419 283077 329582 345983 494373 560838 566154 691966 841257 988746 1028203 1037949 1483119 1682514 2056406 2075898 2966238 3084609 3113847 6169218 6227694 6636583 9253827 13273166 18507654 19909749 39819498 59729247 73002413 119458494 146004826 219007239 438014478 657021717 1314043434