Search a number
-
+
323340404022 = 2321726315112659
BaseRepresentation
bin1001011010010001001…
…01110000010100110110
31010220121011000101212100
410231020211300110312
520244200120412042
6404312431002530
732234451041436
oct4551045602466
91126534011770
10323340404022
111151452572a9
12527ba069446
132464c59426c
1411914d202c6
15862680e24c
hex4b48970536

323340404022 has 96 divisors (see below), whose sum is σ = 745374389760. Its totient is φ = 100949564160.

The previous prime is 323340404011. The next prime is 323340404027. The reversal of 323340404022 is 220404043323.

323340404022 is a `hidden beast` number, since 3 + 233 + 4 + 0 + 404 + 0 + 22 = 666.

It is a super-2 number, since 2×3233404040222 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323340404027) 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 47 ways as a sum of consecutive naturals, for example, 121600929 + ... + 121603587.

It is an arithmetic number, because the mean of its divisors is an integer number (7764316560).

Almost surely, 2323340404022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323340404022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372687194880).

323340404022 is an abundant number, since it is smaller than the sum of its proper divisors (422033985738).

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

323340404022 is a wasteful number, since it uses less digits than its factorization.

323340404022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 323340404022 its reverse (220404043323), we get a palindrome (543744447345).

The spelling of 323340404022 in words is "three hundred twenty-three billion, three hundred forty million, four hundred four thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 263 306 526 789 1511 1578 2367 2659 3022 4471 4533 4734 5318 7977 8942 9066 13413 13599 15954 23931 25687 26826 27198 40239 45203 47862 51374 77061 80478 90406 135609 154122 231183 271218 397393 406827 462366 699317 794786 813654 1192179 1398634 2097951 2384358 3576537 4017749 4195902 6293853 6755681 7153074 8035498 11888389 12053247 12587706 13511362 20267043 23776778 24106494 35665167 36159741 40534086 60801129 68301733 71330334 72319482 106995501 121602258 136603466 204905199 213991002 409810398 614715597 1056667987 1229431194 2113335974 3170003961 6340007922 9510011883 17963355779 19020023766 35926711558 53890067337 107780134674 161670202011 323340404022