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103433904 = 243272107137
BaseRepresentation
bin1100010101001…
…00011010110000
321012121222122100
412022210122300
5202434341104
614132540400
72364113400
oct612443260
9235558570
10103433904
1153427472
122a781700
13185767c2
14da46800
159132139
hex62a46b0

103433904 has 180 divisors, whose sum is σ = 342359784. Its totient is φ = 29062656.

The previous prime is 103433893. The next prime is 103433947. The reversal of 103433904 is 409334301.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 754924 + ... + 755060.

Almost surely, 2103433904 is an apocalyptic number.

103433904 is a gapful number since it is divisible by the number (14) 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 103433904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171179892).

103433904 is an abundant number, since it is smaller than the sum of its proper divisors (238925880).

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

103433904 is a wasteful number, since it uses less digits than its factorization.

103433904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 103433904 is about 10170.2460147235. The cubic root of 103433904 is about 469.4121275322.

The spelling of 103433904 in words is "one hundred three million, four hundred thirty-three thousand, nine hundred four".