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103338828 = 22343131019
BaseRepresentation
bin1100010100011…
…01001101001100
321012110011020000
412022031031030
5202423320303
614130524300
72363236245
oct612151514
9235404200
10103338828
1153371a9a
122a736690
1318542448
14da1dccc
159113da3
hex628d34c

103338828 has 60 divisors (see below), whose sum is σ = 271277160. Its totient is φ = 34302528.

The previous prime is 103338811. The next prime is 103338871. The reversal of 103338828 is 828833301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103338792 and 103338801.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100903 + ... + 101921.

It is an arithmetic number, because the mean of its divisors is an integer number (4521286).

Almost surely, 2103338828 is an apocalyptic number.

103338828 is a gapful number since it is divisible by the number (18) 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 103338828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135638580).

103338828 is an abundant number, since it is smaller than the sum of its proper divisors (167938332).

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

103338828 is a wasteful number, since it uses less digits than its factorization.

103338828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 103338828 is about 10165.5707168855. The cubic root of 103338828 is about 469.2682562378.

The spelling of 103338828 in words is "one hundred three million, three hundred thirty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 313 324 626 939 1019 1252 1878 2038 2817 3057 3756 4076 5634 6114 8451 9171 11268 12228 16902 18342 25353 27513 33804 36684 50706 55026 82539 101412 110052 165078 318947 330156 637894 956841 1275788 1913682 2870523 3827364 5741046 8611569 11482092 17223138 25834707 34446276 51669414 103338828