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1017428328 = 233278272441
BaseRepresentation
bin111100101001001…
…011100101101000
32121220110201021200
4330221023211220
54040430201303
6244543004200
734132666230
oct7451134550
92556421250
101017428328
11482347a64
12244899660
13132a2cbc7
14991a6cc0
155e4c53a3
hex3ca4b968

1017428328 has 96 divisors (see below), whose sum is σ = 3154282560. Its totient is φ = 290223360.

The previous prime is 1017428323. The next prime is 1017428353. The reversal of 1017428328 is 8238247101.

1017428328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1017428292 and 1017428301.

It is not an unprimeable number, because it can be changed into a prime (1017428323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415588 + ... + 418028.

It is an arithmetic number, because the mean of its divisors is an integer number (32857110).

Almost surely, 21017428328 is an apocalyptic number.

1017428328 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 1017428328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577141280).

1017428328 is an abundant number, since it is smaller than the sum of its proper divisors (2136854232).

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

1017428328 is a wasteful number, since it uses less digits than its factorization.

1017428328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1017428328 is about 31897.1523493869. The cubic root of 1017428328 is about 1005.7760160712.

The spelling of 1017428328 in words is "one billion, seventeen million, four hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 827 1654 2441 2481 3308 4882 4962 5789 6616 7323 7443 9764 9924 11578 14646 14886 17087 17367 19528 19848 21969 23156 29292 29772 34174 34734 43938 46312 51261 52101 58584 59544 68348 69468 87876 102522 104202 136696 138936 153783 175752 205044 208404 307566 410088 416808 615132 1230264 2018707 4037414 6056121 8074828 12112242 14130949 16149656 18168363 24224484 28261898 36336726 42392847 48448968 56523796 72673452 84785694 113047592 127178541 145346904 169571388 254357082 339142776 508714164 1017428328