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103353306 = 23723971103
BaseRepresentation
bin1100010100100…
…00101111011010
321012110220002020
412022100233122
5202424301211
614131115310
72363326410
oct612205732
9235426066
10103353306
1153381961
122a742b36
1318548c04
14da252b0
159118306
hex6290bda

103353306 has 64 divisors (see below), whose sum is σ = 249274368. Its totient is φ = 27929088.

The previous prime is 103353281. The next prime is 103353317. The reversal of 103353306 is 603353301.

It is a super-2 number, since 2×1033533062 = 21363811722259272, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 93151 + ... + 94253.

It is an arithmetic number, because the mean of its divisors is an integer number (3894912).

Almost surely, 2103353306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103353306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124637184).

103353306 is an abundant number, since it is smaller than the sum of its proper divisors (145921062).

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

103353306 is a wasteful number, since it uses less digits than its factorization.

103353306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235.

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 103353306 is about 10166.2828014963. The cubic root of 103353306 is about 469.2901703905.

The spelling of 103353306 in words is "one hundred three million, three hundred fifty-three thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 97 138 161 194 291 322 483 582 679 966 1103 1358 2037 2206 2231 3309 4074 4462 6618 6693 7721 13386 15442 15617 23163 25369 31234 46326 46851 50738 76107 93702 106991 152214 177583 213982 320973 355166 532749 641946 748937 1065498 1497874 2246811 2460793 4493622 4921586 7382379 14764758 17225551 34451102 51676653 103353306