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1143334104 = 2331116725933
BaseRepresentation
bin100010000100101…
…1110010011011000
32221200101101112120
41010021132103120
54320143142404
6305241341240
740222115403
oct10411362330
92850341476
101143334104
11537422920
1227aa97820
13152b43c73
14abbbcd3a
156a5959d9
hex4425e4d8

1143334104 has 64 divisors (see below), whose sum is σ = 3136976640. Its totient is φ = 344376960.

The previous prime is 1143334091. The next prime is 1143334183. The reversal of 1143334104 is 4014333411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 31122 + ... + 57054.

It is an arithmetic number, because the mean of its divisors is an integer number (49015260).

Almost surely, 21143334104 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 1143334104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568488320).

1143334104 is an abundant number, since it is smaller than the sum of its proper divisors (1993642536).

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

1143334104 is a wasteful number, since it uses less digits than its factorization.

1143334104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26120 (or 26116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1143334104 is about 33813.2238037132. The cubic root of 1143334104 is about 1045.6613424734.

Adding to 1143334104 its reverse (4014333411), we get a palindrome (5157667515).

The spelling of 1143334104 in words is "one billion, one hundred forty-three million, three hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 167 264 334 501 668 1002 1336 1837 2004 3674 4008 5511 7348 11022 14696 22044 25933 44088 51866 77799 103732 155598 207464 285263 311196 570526 622392 855789 1141052 1711578 2282104 3423156 4330811 6846312 8661622 12992433 17323244 25984866 34646488 47638921 51969732 95277842 103939464 142916763 190555684 285833526 381111368 571667052 1143334104