Search a number
-
+
324100404120 = 233527718475279
BaseRepresentation
bin1001011011101011110…
…00111011001110011000
31010222120010002102000010
410231311320323032120
520302224200412440
6404520100241520
732262336660243
oct4556570731630
91128503072003
10324100404120
111154a5257659
12529906a02a0
1324740b8066c
1411987c3625a
15866d3d4580
hex4b75e3b398

324100404120 has 128 divisors (see below), whose sum is σ = 976524595200. Its totient is φ = 86051836416.

The previous prime is 324100404083. The next prime is 324100404163. The reversal of 324100404120 is 21404001423.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61391641 + ... + 61396919.

It is an arithmetic number, because the mean of its divisors is an integer number (7629098400).

Almost surely, 2324100404120 is an apocalyptic number.

324100404120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324100404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488262297600).

324100404120 is an abundant number, since it is smaller than the sum of its proper divisors (652424191080).

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

324100404120 is a wasteful number, since it uses less digits than its factorization.

324100404120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7417 (or 7413 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 324100404120 its reverse (21404001423), we get a palindrome (345504405543).

The spelling of 324100404120 in words is "three hundred twenty-four billion, one hundred million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 1108 1385 1662 1847 2216 2770 3324 3694 4155 5279 5540 5541 6648 7388 8310 9235 10558 11080 11082 14776 15837 16620 18470 21116 22164 26395 27705 31674 33240 36940 42232 44328 52790 55410 63348 73880 79185 105580 110820 126696 158370 211160 221640 316740 511619 633480 1023238 1462283 1534857 2046476 2558095 2924566 3069714 4092952 4386849 5116190 5849132 6139428 7311415 7674285 8773698 9750313 10232380 11698264 12278856 14622830 15348570 17547396 19500626 20464760 21934245 29245660 29250939 30697140 35094792 39001252 43868490 48751565 58491320 58501878 61394280 78002504 87736980 97503130 117003756 146254695 175473960 195006260 234007512 292509390 390012520 585018780 1170037560 2700836701 5401673402 8102510103 10803346804 13504183505 16205020206 21606693608 27008367010 32410040412 40512550515 54016734020 64820080824 81025101030 108033468040 162050202060 324100404120