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399038328 = 2332132631621
BaseRepresentation
bin10111110010001…
…101011101111000
31000210212020200100
4113302031131320
51304123211303
6103332435400
712613525023
oct2762153570
91023766610
10399038328
11195279447
12b1778b60
1364895970
143add41ba
15250738a3
hex17c8d778

399038328 has 96 divisors (see below), whose sum is σ = 1169007840. Its totient is φ = 122238720.

The previous prime is 399038273. The next prime is 399038329. The reversal of 399038328 is 823830993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399038329) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 245358 + ... + 246978.

It is an arithmetic number, because the mean of its divisors is an integer number (12177165).

Almost surely, 2399038328 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 399038328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584503920).

399038328 is an abundant number, since it is smaller than the sum of its proper divisors (769969512).

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

399038328 is a wasteful number, since it uses less digits than its factorization.

399038328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 399038328 is about 19975.9437323997. The cubic root of 399038328 is about 736.2153542384.

The spelling of 399038328 in words is "three hundred ninety-nine million, thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 263 312 468 526 789 936 1052 1578 1621 2104 2367 3156 3242 3419 4734 4863 6312 6484 6838 9468 9726 10257 12968 13676 14589 18936 19452 20514 21073 27352 29178 30771 38904 41028 42146 58356 61542 63219 82056 84292 116712 123084 126438 168584 189657 246168 252876 379314 426323 505752 758628 852646 1278969 1517256 1705292 2557938 3410584 3836907 5115876 5542199 7673814 10231752 11084398 15347628 16626597 22168796 30695256 33253194 44337592 49879791 66506388 99759582 133012776 199519164 399038328