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1114343040 = 27353491663
BaseRepresentation
bin100001001101011…
…1000011010000000
32212122211111021110
41002122320122000
54240232434130
6302324123320
736420521346
oct10232703200
92778744243
101114343040
11522021468
12271236540
13149b332a5
14a7dd3996
1567c6aab0
hex426b8680

1114343040 has 128 divisors (see below), whose sum is σ = 3564288000. Its totient is φ = 296128512.

The previous prime is 1114343039. The next prime is 1114343051. The reversal of 1114343040 is 403434111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1114342998 and 1114343016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669249 + ... + 670911.

It is an arithmetic number, because the mean of its divisors is an integer number (27846000).

Almost surely, 21114343040 is an apocalyptic number.

1114343040 is a gapful number since it is divisible by the number (10) 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 1114343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782144000).

1114343040 is an abundant number, since it is smaller than the sum of its proper divisors (2449944960).

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

1114343040 is a wasteful number, since it uses less digits than its factorization.

1114343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1114343040 is about 33381.7770647400. Note that the first 3 decimals coincide. The cubic root of 1114343040 is about 1036.7474319865.

Adding to 1114343040 its reverse (403434111), we get a palindrome (1517777151).

The spelling of 1114343040 in words is "one billion, one hundred fourteen million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 349 384 480 640 698 960 1047 1396 1663 1745 1920 2094 2792 3326 3490 4188 4989 5235 5584 6652 6980 8315 8376 9978 10470 11168 13304 13960 16630 16752 19956 20940 22336 24945 26608 27920 33260 33504 39912 41880 44672 49890 53216 55840 66520 67008 79824 83760 99780 106432 111680 133040 134016 159648 167520 199560 212864 223360 266080 319296 335040 399120 532160 580387 638592 670080 798240 1064320 1160774 1596480 1741161 2321548 2901935 3192960 3482322 4643096 5803870 6964644 8705805 9286192 11607740 13929288 17411610 18572384 23215480 27858576 34823220 37144768 46430960 55717152 69646440 74289536 92861920 111434304 139292880 185723840 222868608 278585760 371447680 557171520 1114343040