Search a number
-
+
399676840 = 2352921092
BaseRepresentation
bin10111110100101…
…001010110101000
31000212001200112221
4113310221112220
51304304124330
6103354243424
712622124413
oct2764512650
91025050487
10399676840
11195675142
12b1a26574
1364a5a494
143b11cb7a
152514cb7a
hex17d295a8

399676840 has 72 divisors (see below), whose sum is σ = 939974490. Its totient is φ = 152941824.

The previous prime is 399676829. The next prime is 399676841. The reversal of 399676840 is 48676993.

It can be written as a sum of positive squares in 9 ways, for example, as 108701476 + 290975364 = 10426^2 + 17058^2 .

It is not an unprimeable number, because it can be changed into a prime (399676841) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3666706 + ... + 3666814.

Almost surely, 2399676840 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 399676840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469987245).

399676840 is an abundant number, since it is smaller than the sum of its proper divisors (540297650).

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

399676840 is a wasteful number, since it uses less digits than its factorization.

399676840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 399676840 is about 19991.9193675845. The cubic root of 399676840 is about 736.6078243325.

The spelling of 399676840 in words is "three hundred ninety-nine million, six hundred seventy-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 109 116 145 218 232 290 436 545 580 841 872 1090 1160 1682 2180 3161 3364 4205 4360 6322 6728 8410 11881 12644 15805 16820 23762 25288 31610 33640 47524 59405 63220 91669 95048 118810 126440 183338 237620 344549 366676 458345 475240 689098 733352 916690 1378196 1722745 1833380 2756392 3445490 3666760 6890980 9991921 13781960 19983842 39967684 49959605 79935368 99919210 199838420 399676840