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399566340 = 223252219813
BaseRepresentation
bin10111110100001…
…110011000000100
31000211212001222100
4113310032120010
51304242110330
6103352032100
712621154305
oct2764163004
91024761870
10399566340
111955aa118
12b1992630
1364a1c0b4
143b0d07ac
152512a060
hex17d0e604

399566340 has 36 divisors (see below), whose sum is σ = 1212018444. Its totient is φ = 106550976.

The previous prime is 399566339. The next prime is 399566353. The reversal of 399566340 is 43665993.

It is a happy number.

399566340 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 6 + 634 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250335684 + 149230656 = 15822^2 + 12216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1109727 + ... + 1110086.

It is an arithmetic number, because the mean of its divisors is an integer number (33667179).

Almost surely, 2399566340 is an apocalyptic number.

399566340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

399566340 is an abundant number, since it is smaller than the sum of its proper divisors (812452104).

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

399566340 is a wasteful number, since it uses less digits than its factorization.

399566340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219828 (or 2219823 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 399566340 is about 19989.1555599530. The cubic root of 399566340 is about 736.5399339281.

The spelling of 399566340 in words is "three hundred ninety-nine million, five hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2219813 4439626 6659439 8879252 11099065 13318878 19978317 22198130 26637756 33297195 39956634 44396260 66594390 79913268 99891585 133188780 199783170 399566340