Search a number
-
+
134314110 = 232571712541
BaseRepresentation
bin10000000000101…
…11100001111110
3100100201212022200
420000113201332
5233341022420
621154452330
73220436220
oct1000274176
9310655280
10134314110
11698a91a7
1238b940a6
1321a99308
1413ba4410
15bbd1b90
hex801787e

134314110 has 96 divisors (see below), whose sum is σ = 422615232. Its totient is φ = 28892160.

The previous prime is 134314079. The next prime is 134314129. The reversal of 134314110 is 11413431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 4440 + ... + 16980.

It is an arithmetic number, because the mean of its divisors is an integer number (4402242).

Almost surely, 2134314110 is an apocalyptic number.

134314110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134314110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211307616).

134314110 is an abundant number, since it is smaller than the sum of its proper divisors (288301122).

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

134314110 is a wasteful number, since it uses less digits than its factorization.

134314110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12578 (or 12575 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 134314110 is about 11589.3964467525. The cubic root of 134314110 is about 512.1225267264.

Adding to 134314110 its reverse (11413431), we get a palindrome (145727541).

The spelling of 134314110 in words is "one hundred thirty-four million, three hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 5355 10710 12541 25082 37623 62705 75246 87787 112869 125410 175574 188115 213197 225738 263361 376230 426394 438935 526722 564345 639591 790083 877870 1065985 1128690 1279182 1316805 1492379 1580166 1918773 2131970 2633610 2984758 3197955 3837546 3950415 4477137 6395910 7461895 7900830 8954274 9593865 13431411 14923790 19187730 22385685 26862822 44771370 67157055 134314110