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326023920 = 243351491013
BaseRepresentation
bin10011011011101…
…011101011110000
3211201110201202000
4103123223223300
51131430231140
652203454000
711036105025
oct2333535360
9751421660
10326023920
11158039662
1291227300
1352710081
143142954c
151d94ea30
hex136ebaf0

326023920 has 160 divisors (see below), whose sum is σ = 1131624000. Its totient is φ = 86270976.

The previous prime is 326023883. The next prime is 326023921. The reversal of 326023920 is 29320623.

326023920 is a `hidden beast` number, since 3 + 2 + 602 + 39 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326023921) 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 31 ways as a sum of consecutive naturals, for example, 321334 + ... + 322346.

It is an arithmetic number, because the mean of its divisors is an integer number (7072650).

Almost surely, 2326023920 is an apocalyptic number.

326023920 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 326023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565812000).

326023920 is an abundant number, since it is smaller than the sum of its proper divisors (805600080).

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

326023920 is a wasteful number, since it uses less digits than its factorization.

326023920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 326023920 is about 18056.1324762530. The cubic root of 326023920 is about 688.2557076360.

The spelling of 326023920 in words is "three hundred twenty-six million, twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 149 180 216 240 270 298 360 432 447 540 596 720 745 894 1013 1080 1192 1341 1490 1788 2026 2160 2235 2384 2682 2980 3039 3576 4023 4052 4470 5065 5364 5960 6078 6705 7152 8046 8104 8940 9117 10130 10728 11920 12156 13410 15195 16092 16208 17880 18234 20115 20260 21456 24312 26820 27351 30390 32184 35760 36468 40230 40520 45585 48624 53640 54702 60780 64368 72936 80460 81040 91170 107280 109404 121560 136755 145872 150937 160920 182340 218808 243120 273510 301874 321840 364680 437616 452811 547020 603748 729360 754685 905622 1094040 1207496 1358433 1509370 1811244 2188080 2264055 2414992 2716866 3018740 3622488 4075299 4528110 5433732 6037480 6792165 7244976 8150598 9056220 10867464 12074960 13584330 16301196 18112440 20376495 21734928 27168660 32602392 36224880 40752990 54337320 65204784 81505980 108674640 163011960 326023920