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1033344116 = 2271719910909
BaseRepresentation
bin111101100101111…
…001010001110100
32200000102022122022
4331211321101310
54104014002431
6250312052312
734415165030
oct7545712164
92600368568
101033344116
11490328802
1224a094098
1313611332c
149b34b1c0
1560abb07b
hex3d979474

1033344116 has 48 divisors (see below), whose sum is σ = 2199456000. Its totient is φ = 414678528.

The previous prime is 1033344077. The next prime is 1033344119. The reversal of 1033344116 is 6114433301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033344119) 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 15 ways as a sum of consecutive naturals, for example, 89270 + ... + 100178.

It is an arithmetic number, because the mean of its divisors is an integer number (45822000).

Almost surely, 21033344116 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 1033344116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099728000).

1033344116 is an abundant number, since it is smaller than the sum of its proper divisors (1166111884).

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

1033344116 is a wasteful number, since it uses less digits than its factorization.

1033344116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11136 (or 11134 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 1033344116 is about 32145.6702527728. The cubic root of 1033344116 is about 1010.9934074564.

Adding to 1033344116 its reverse (6114433301), we get a palindrome (7147777417).

The spelling of 1033344116 in words is "one billion, thirty-three million, three hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 68 119 199 238 398 476 796 1393 2786 3383 5572 6766 10909 13532 21818 23681 43636 47362 76363 94724 152726 185453 305452 370906 741812 1298171 2170891 2596342 4341782 5192684 8683564 15196237 30392474 36905147 60784948 73810294 147620588 258336029 516672058 1033344116