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103834096 = 24172291667
BaseRepresentation
bin1100011000001…
…10000111110000
321020101022121021
412030012013300
5203040142341
614145305224
72400401212
oct614060760
9236338537
10103834096
1153680103
122a935214
13186869c2
14db0c5b2
1591b09d1
hex63061f0

103834096 has 40 divisors (see below), whose sum is σ = 214071120. Its totient is φ = 48620544.

The previous prime is 103834091. The next prime is 103834103. The reversal of 103834096 is 690438301.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103834091) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 61455 + ... + 63121.

It is an arithmetic number, because the mean of its divisors is an integer number (5351778).

Almost surely, 2103834096 is an apocalyptic number.

103834096 is a gapful number since it is divisible by the number (16) 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 103834096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107035560).

103834096 is an abundant number, since it is smaller than the sum of its proper divisors (110237024).

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

103834096 is a wasteful number, since it uses less digits than its factorization.

103834096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 103834096 is about 10189.9016678278. The cubic root of 103834096 is about 470.0167430281.

The spelling of 103834096 in words is "one hundred three million, eight hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 229 272 458 916 1667 1832 3334 3664 3893 6668 7786 13336 15572 26672 28339 31144 56678 62288 113356 226712 381743 453424 763486 1526972 3053944 6107888 6489631 12979262 25958524 51917048 103834096