Search a number
-
+
1344269718 = 2321137281653
BaseRepresentation
bin101000000011111…
…1110110110010110
310110200110222101100
41100013332312112
510223113112333
6341220210530
745212050461
oct12007766626
93420428340
101344269718
1162a894810
12316239a46
1318566808c
14ca7662d8
157d037213
hex501fed96

1344269718 has 96 divisors (see below), whose sum is σ = 3279867552. Its totient is φ = 394329600.

The previous prime is 1344269677. The next prime is 1344269737. The reversal of 1344269718 is 8179624431.

1344269718 is a `hidden beast` number, since 134 + 426 + 97 + 1 + 8 = 666.

It is a super-2 number, since 2×13442697182 = 3614122149463599048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2058280 + ... + 2058932.

It is an arithmetic number, because the mean of its divisors is an integer number (34165287).

Almost surely, 21344269718 is an apocalyptic number.

1344269718 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 1344269718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639933776).

1344269718 is an abundant number, since it is smaller than the sum of its proper divisors (1935597834).

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

1344269718 is a wasteful number, since it uses less digits than its factorization.

1344269718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 987 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1344269718 is about 36664.2839559155. The cubic root of 1344269718 is about 1103.6434881852.

The spelling of 1344269718 in words is "one billion, three hundred forty-four million, two hundred sixty-nine thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 281 333 407 562 653 666 814 843 1221 1306 1686 1959 2442 2529 3091 3663 3918 5058 5877 6182 7183 7326 9273 10397 11754 14366 18546 20794 21549 24161 27819 31191 43098 48322 55638 62382 64647 72483 93573 114367 129294 144966 183493 187146 217449 228734 265771 343101 366986 434898 531542 550479 686202 797313 1029303 1100958 1594626 1651437 2018423 2058606 2391939 3302874 4036846 4783878 6055269 6789241 12110538 13578482 18165807 20367723 36331614 40735446 61103169 74681651 122206338 149363302 224044953 448089906 672134859 1344269718