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398085328 = 24172236563
BaseRepresentation
bin10111101110100…
…100110011010000
31000202001211102001
4113232210303100
51303402212303
6103300203344
712602445424
oct2756446320
91022054361
10398085328
11194788443
12b1399554
1364620c64
143ac26b84
1524e3631d
hex17ba4cd0

398085328 has 40 divisors (see below), whose sum is σ = 820447488. Its totient is φ = 186465792.

The previous prime is 398085323. The next prime is 398085361. The reversal of 398085328 is 823580893.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398085323) 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, 57375 + ... + 63937.

Almost surely, 2398085328 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 398085328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410223744).

398085328 is an abundant number, since it is smaller than the sum of its proper divisors (422362160).

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

398085328 is a wasteful number, since it uses less digits than its factorization.

398085328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 398085328 is about 19952.0757817326. The cubic root of 398085328 is about 735.6288002942.

The spelling of 398085328 in words is "three hundred ninety-eight million, eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 223 272 446 892 1784 3568 3791 6563 7582 13126 15164 26252 30328 52504 60656 105008 111571 223142 446284 892568 1463549 1785136 2927098 5854196 11708392 23416784 24880333 49760666 99521332 199042664 398085328