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103316328 = 23322949481
BaseRepresentation
bin1100010100001…
…11101101101000
321012102000100200
412022013231220
5202422110303
614130232200
72363113533
oct612075550
9235360320
10103316328
11533570a5
122a725660
131853512b
14da15a1a
15910c3a3
hex6287b68

103316328 has 48 divisors (see below), whose sum is σ = 289469700. Its totient is φ = 33250560.

The previous prime is 103316267. The next prime is 103316329. The reversal of 103316328 is 823613301.

It is a happy number.

103316328 is a `hidden beast` number, since 1 + 0 + 331 + 6 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99560484 + 3755844 = 9978^2 + 1938^2 .

It is not an unprimeable number, because it can be changed into a prime (103316329) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22653 + ... + 26828.

Almost surely, 2103316328 is an apocalyptic number.

103316328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103316328 is an abundant number, since it is smaller than the sum of its proper divisors (186153372).

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

103316328 is a wasteful number, since it uses less digits than its factorization.

103316328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49522 (or 49515 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 103316328 is about 10164.4639799647. The cubic root of 103316328 is about 469.2341957839.

Adding to 103316328 its reverse (823613301), we get a palindrome (926929629).

The spelling of 103316328 in words is "one hundred three million, three hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 49481 98962 148443 197924 296886 395848 445329 593772 890658 1187544 1434949 1781316 2869898 3562632 4304847 5739796 8609694 11479592 12914541 17219388 25829082 34438776 51658164 103316328