Search a number
-
+
1834404096 = 28371917959
BaseRepresentation
bin110110101010110…
…1100100100000000
311201211202101100110
41231111230210000
512224101412341
6502005351320
763313114620
oct15525544400
94654671313
101834404096
11861522a48
12432408540
13233077815
141358b0880
15ab0a2216
hex6d56c900

1834404096 has 144 divisors (see below), whose sum is σ = 5873638400. Its totient is φ = 496502784.

The previous prime is 1834404071. The next prime is 1834404097. The reversal of 1834404096 is 6904044381.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1834404097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93165 + ... + 111123.

Almost surely, 21834404096 is an apocalyptic number.

1834404096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1834404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936819200).

1834404096 is an abundant number, since it is smaller than the sum of its proper divisors (4039234304).

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

1834404096 is a wasteful number, since it uses less digits than its factorization.

1834404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18004 (or 17990 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1834404096 is about 42829.9439177779. The cubic root of 1834404096 is about 1224.1416385283.

The spelling of 1834404096 in words is "one billion, eight hundred thirty-four million, four hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 7296 8512 12768 14592 17024 17959 25536 34048 35918 51072 53877 71836 102144 107754 125713 143672 215508 251426 287344 341221 377139 431016 502852 574688 682442 754278 862032 1005704 1023663 1149376 1364884 1508556 1724064 2011408 2047326 2298752 2388547 2729768 3017112 3448128 4022816 4094652 4597504 4777094 5459536 6034224 6896256 7165641 8045632 8189304 9554188 10919072 12068448 13792512 14331282 16091264 16378608 19108376 21838144 24136896 28662564 32182528 32757216 38216752 43676288 48273792 57325128 65514432 76433504 87352576 96547584 114650256 131028864 152867008 229300512 262057728 305734016 458601024 611468032 917202048 1834404096