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399339648 = 2732346649
BaseRepresentation
bin10111110011010…
…111000010000000
31000211102120000100
4113303113002000
51304212332043
6103343122400
712616221351
oct2763270200
91024376010
10399339648
11195464874
12b18a3400
136496cb66
143b071d28
15250d2cd3
hex17cd7080

399339648 has 48 divisors (see below), whose sum is σ = 1149144750. Its totient is φ = 133112832.

The previous prime is 399339641. The next prime is 399339649. The reversal of 399339648 is 846933993.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 301091904 + 98247744 = 17352^2 + 9912^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 399339594 and 399339603.

It is not an unprimeable number, because it can be changed into a prime (399339641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172173 + ... + 174476.

Almost surely, 2399339648 is an apocalyptic number.

It is an amenable number.

399339648 is an abundant number, since it is smaller than the sum of its proper divisors (749805102).

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

399339648 is a wasteful number, since it uses less digits than its factorization.

399339648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346669 (or 346654 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 399339648 is about 19983.4843808581. The cubic root of 399339648 is about 736.4006168068.

The spelling of 399339648 in words is "three hundred ninety-nine million, three hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 346649 693298 1039947 1386596 2079894 2773192 3119841 4159788 5546384 6239682 8319576 11092768 12479364 16639152 22185536 24958728 33278304 44371072 49917456 66556608 99834912 133113216 199669824 399339648