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324400120 = 2351117311399
BaseRepresentation
bin10011010101011…
…111001111111000
3211121102020022021
4103111133033320
51131021300440
652105004224
711016232642
oct2325371770
9747366267
10324400120
1115712a680
1290783674
1352291c45
1431125892
151d72d84a
hex1355f3f8

324400120 has 128 divisors (see below), whose sum is σ = 870912000. Its totient is φ = 107366400.

The previous prime is 324400117. The next prime is 324400199. The reversal of 324400120 is 21004423.

It is a junction number, because it is equal to n+sod(n) for n = 324400094 and 324400103.

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, 231181 + ... + 232579.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2324400120 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 324400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

324400120 is an abundant number, since it is smaller than the sum of its proper divisors (546511880).

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

324400120 is a wasteful number, since it uses less digits than its factorization.

324400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 324400120 is about 18011.1110151484. Note that the first 3 decimals coincide. The cubic root of 324400120 is about 687.1111595126. Note that the first 4 decimals are identical.

Adding to 324400120 its reverse (21004423), we get a palindrome (345404543).

The spelling of 324400120 in words is "three hundred twenty-four million, four hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 31 34 40 44 55 62 68 85 88 110 124 136 155 170 187 220 248 310 340 341 374 440 527 620 680 682 748 935 1054 1240 1364 1399 1496 1705 1870 2108 2635 2728 2798 3410 3740 4216 5270 5596 5797 6820 6995 7480 10540 11192 11594 13640 13990 15389 21080 23188 23783 27980 28985 30778 43369 46376 47566 55960 57970 61556 76945 86738 95132 115940 118915 123112 153890 173476 190264 216845 231880 237830 261613 307780 346952 433690 475660 477059 523226 615560 737273 867380 951320 954118 1046452 1308065 1474546 1734760 1908236 2092904 2385295 2616130 2949092 3686365 3816472 4770590 5232260 5898184 7372730 8110003 9541180 10464520 14745460 16220006 19082360 29490920 32440012 40550015 64880024 81100030 162200060 324400120