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1035339228 = 22327211229233
BaseRepresentation
bin111101101101100…
…000010111011100
32200011011200102100
4331231200113130
54110021323403
6250422525100
734441144500
oct7555402734
92604150370
101035339228
11491470760
1224a896790
13136661481
149b70a300
1560d622a3
hex3db605dc

1035339228 has 216 divisors, whose sum is σ = 3349972080. Its totient is φ = 266595840.

The previous prime is 1035339199. The next prime is 1035339269. The reversal of 1035339228 is 8229335301.

1035339228 is a `hidden beast` number, since 10 + 3 + 533 + 92 + 28 = 666.

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 = 1035339192 and 1035339201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4443400 + ... + 4443632.

It is an arithmetic number, because the mean of its divisors is an integer number (15509130).

Almost surely, 21035339228 is an apocalyptic number.

1035339228 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 1035339228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674986040).

1035339228 is an abundant number, since it is smaller than the sum of its proper divisors (2314632852).

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

1035339228 is a wasteful number, since it uses less digits than its factorization.

1035339228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1035339228 is about 32176.6876480473. The cubic root of 1035339228 is about 1011.6436420727.

The spelling of 1035339228 in words is "one billion, thirty-five million, three hundred thirty-nine thousand, two hundred twenty-eight".