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1143084384 = 2532131916069
BaseRepresentation
bin100010000100010…
…0001010101100000
32221122220200222200
41010020201111200
54320112200014
6305232133200
740220025351
oct10410412540
92848820880
101143084384
11537272242
1227a997200
13152a873c0
14abb55d28
156a546a09
hex44221560

1143084384 has 144 divisors (see below), whose sum is σ = 3685172400. Its totient is φ = 333186048.

The previous prime is 1143084377. The next prime is 1143084407. The reversal of 1143084384 is 4834803411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63102 + ... + 79170.

It is an arithmetic number, because the mean of its divisors is an integer number (25591475).

Almost surely, 21143084384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143084384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842586200).

1143084384 is an abundant number, since it is smaller than the sum of its proper divisors (2542088016).

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

1143084384 is a wasteful number, since it uses less digits than its factorization.

1143084384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16117 (or 16106 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1143084384 is about 33809.5309639161. The cubic root of 1143084384 is about 1045.5852079581.

Adding to 1143084384 its reverse (4834803411), we get a palindrome (5977887795).

The spelling of 1143084384 in words is "one billion, one hundred forty-three million, eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1248 1368 1482 1824 1872 1976 2223 2736 2964 3744 3952 4446 5472 5928 7904 8892 11856 16069 17784 23712 32138 35568 48207 64276 71136 96414 128552 144621 192828 208897 257104 289242 305311 385656 417794 514208 578484 610622 626691 771312 835588 915933 1156968 1221244 1253382 1542624 1671176 1831866 1880073 2313936 2442488 2506764 2747799 3342352 3663732 3760146 3969043 4627872 4884976 5013528 5495598 6684704 7327464 7520292 7938086 9769952 10027056 10991196 11907129 14654928 15040584 15876172 20054112 21982392 23814258 29309856 30081168 31752344 35721387 43964784 47628516 60162336 63504688 71442774 87929568 95257032 127009376 142885548 190514064 285771096 381028128 571542192 1143084384