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38243328 = 210359211
BaseRepresentation
bin1001000111100…
…0110000000000
32122221221222120
42101320300000
534242241303
63443404240
7643030404
oct221706000
978857876
1038243328
111a650862
1210983680
137c000b6
145117104
153556553
hex2478c00

38243328 has 88 divisors (see below), whose sum is σ = 104151360. Its totient is φ = 12472320.

The previous prime is 38243327. The next prime is 38243351. The reversal of 38243328 is 82334283.

38243328 is nontrivially palindromic in base 15.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38243321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181143 + ... + 181353.

Almost surely, 238243328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52075680).

38243328 is an abundant number, since it is smaller than the sum of its proper divisors (65908032).

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

38243328 is a wasteful number, since it uses less digits than its factorization.

38243328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 38243328 is about 6184.1190156723. The cubic root of 38243328 is about 336.9136133273.

The spelling of 38243328 in words is "thirty-eight million, two hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 211 236 256 354 384 422 472 512 633 708 768 844 944 1024 1266 1416 1536 1688 1888 2532 2832 3072 3376 3776 5064 5664 6752 7552 10128 11328 12449 13504 15104 20256 22656 24898 27008 30208 37347 40512 45312 49796 54016 60416 74694 81024 90624 99592 108032 149388 162048 181248 199184 216064 298776 324096 398368 597552 648192 796736 1195104 1593472 2390208 3186944 4780416 6373888 9560832 12747776 19121664 38243328