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1349844912 = 24341326163
BaseRepresentation
bin101000001110100…
…1111111110110000
310111001222020010000
41100131033332300
510231030014122
6341535510000
745310330623
oct12035177660
93431866100
101349844912
11632a52509
12318088300
1318686a900
14cb3b7dba
157d7890ac
hex5074ffb0

1349844912 has 150 divisors (see below), whose sum is σ = 4231173012. Its totient is φ = 415269504.

The previous prime is 1349844889. The next prime is 1349844917. The reversal of 1349844912 is 2194489431.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1349844917) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 215943 + ... + 222105.

Almost surely, 21349844912 is an apocalyptic number.

1349844912 is a gapful number since it is divisible by the number (12) 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 1349844912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115586506).

1349844912 is an abundant number, since it is smaller than the sum of its proper divisors (2881328100).

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

1349844912 is a wasteful number, since it uses less digits than its factorization.

1349844912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6181 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1349844912 is about 36740.2356007688. The cubic root of 1349844912 is about 1105.1671258175.

The spelling of 1349844912 in words is "one billion, three hundred forty-nine million, eight hundred forty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 169 208 216 234 312 324 338 351 432 468 507 624 648 676 702 936 1014 1053 1296 1352 1404 1521 1872 2028 2106 2704 2808 3042 4056 4212 4563 5616 6084 6163 8112 8424 9126 12168 12326 13689 16848 18252 18489 24336 24652 27378 36504 36978 49304 54756 55467 73008 73956 80119 98608 109512 110934 147912 160238 166401 219024 221868 240357 295824 320476 332802 443736 480714 499203 640952 665604 721071 887472 961428 998406 1041547 1281904 1331208 1442142 1922856 1996812 2083094 2163213 2662416 2884284 3124641 3845712 3993624 4166188 4326426 5768568 6249282 6489639 7987248 8332376 8652852 9373923 11537136 12498564 12979278 16664752 17305704 18747846 24997128 25958556 28121769 34611408 37495692 49994256 51917112 56243538 74991384 84365307 103834224 112487076 149982768 168730614 224974152 337461228 449948304 674922456 1349844912