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103348040 = 2355934357
BaseRepresentation
bin1100010100011…
…11011101001000
321012110121212012
412022033131020
5202424114130
614131035052
72363305145
oct612173510
9235417765
10103348040
1153378a04
122a73ba88
13185466b3
14da233cc
159116995
hex628f748

103348040 has 32 divisors (see below), whose sum is σ = 232978680. Its totient is φ = 41260032.

The previous prime is 103348027. The next prime is 103348061. The reversal of 103348040 is 40843301.

It can be written as a sum of positive squares in 4 ways, for example, as 103266244 + 81796 = 10162^2 + 286^2 .

It is a super-3 number, since 3×1033480403 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103347997 and 103348015.

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 7 ways as a sum of consecutive naturals, for example, 21542 + ... + 25898.

Almost surely, 2103348040 is an apocalyptic number.

103348040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103348040 is an abundant number, since it is smaller than the sum of its proper divisors (129630640).

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

103348040 is a wasteful number, since it uses less digits than its factorization.

103348040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 103348040 is about 10166.0238048118. The cubic root of 103348040 is about 469.2821999181.

The spelling of 103348040 in words is "one hundred three million, three hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 593 1186 2372 2965 4357 4744 5930 8714 11860 17428 21785 23720 34856 43570 87140 174280 2583701 5167402 10334804 12918505 20669608 25837010 51674020 103348040