Search a number
-
+
1042342112 = 25724211579
BaseRepresentation
bin111110001000001…
…110000011100000
32200122100110120102
4332020032003200
54113314421422
6251233001532
734554522200
oct7610160340
92618313512
101042342112
11495414069
122510b32a8
13137c43aa6
149c610400
1561797192
hex3e20e0e0

1042342112 has 72 divisors (see below), whose sum is σ = 2394335160. Its totient is φ = 445374720.

The previous prime is 1042342079. The next prime is 1042342121. The reversal of 1042342112 is 2112432401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 659339 + ... + 660917.

It is an arithmetic number, because the mean of its divisors is an integer number (33254655).

Almost surely, 21042342112 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 1042342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197167580).

1042342112 is an abundant number, since it is smaller than the sum of its proper divisors (1351993048).

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

1042342112 is a wasteful number, since it uses less digits than its factorization.

1042342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1042342112 is about 32285.3234767750. The cubic root of 1042342112 is about 1013.9193889859.

Adding to 1042342112 its reverse (2112432401), we get a palindrome (3154774513).

The spelling of 1042342112 in words is "one billion, forty-two million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 421 784 842 1568 1579 1684 2947 3158 3368 5894 6316 6736 11053 11788 12632 13472 20629 22106 23576 25264 41258 44212 47152 50528 77371 82516 88424 94304 154742 165032 176848 309484 330064 353696 618968 660128 664759 1237936 1329518 2475872 2659036 4653313 5318072 9306626 10636144 18613252 21272288 32573191 37226504 65146382 74453008 130292764 148906016 260585528 521171056 1042342112