Search a number
-
+
1306123434 = 2337113110133
BaseRepresentation
bin100110111011001…
…1101110010101010
310101000200221112000
41031312131302222
510133331422214
6333334431430
744236603020
oct11566356252
93330627460
101306123434
116102aa960
12305502576
1317a7a0205
14c5676710
15799ee809
hex4dd9dcaa

1306123434 has 128 divisors (see below), whose sum is σ = 3735797760. Its totient is φ = 328276800.

The previous prime is 1306123433. The next prime is 1306123453. The reversal of 1306123434 is 4343216031.

1306123434 is a `hidden beast` number, since 1 + 3 + 0 + 612 + 3 + 43 + 4 = 666.

It is a super-3 number, since 3×13061234343 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1306123398 and 1306123407.

It is not an unprimeable number, because it can be changed into a prime (1306123433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123832 + ... + 133964.

It is an arithmetic number, because the mean of its divisors is an integer number (29185920).

Almost surely, 21306123434 is an apocalyptic number.

1306123434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306123434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867898880).

1306123434 is an abundant number, since it is smaller than the sum of its proper divisors (2429674326).

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

1306123434 is a wasteful number, since it uses less digits than its factorization.

1306123434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10193 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1306123434 is about 36140.3297439301. The cubic root of 1306123434 is about 1093.1038078030.

Adding to 1306123434 its reverse (4343216031), we get a palindrome (5649339465).

The spelling of 1306123434 in words is "one billion, three hundred six million, one hundred twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 31 33 42 54 62 63 66 77 93 99 126 154 186 189 198 217 231 279 297 341 378 434 462 558 594 651 682 693 837 1023 1302 1386 1674 1953 2046 2079 2387 3069 3906 4158 4774 5859 6138 7161 9207 10133 11718 14322 18414 20266 21483 30399 42966 60798 64449 70931 91197 111463 128898 141862 182394 212793 222926 273591 314123 334389 425586 547182 628246 638379 668778 780241 942369 1003167 1276758 1560482 1884738 1915137 2006334 2198861 2340723 2827107 3009501 3455353 3830274 4397722 4681446 5654214 6019002 6596583 6910706 7022169 8481321 10366059 13193166 14044338 16962642 19789749 20732118 21066507 24187471 31098177 39579498 42133014 48374942 59369247 62196354 72562413 93294531 118738494 145124826 186589062 217687239 435374478 653061717 1306123434