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323143020 = 223451511321
BaseRepresentation
bin10011010000101…
…100010101101100
3211112001100220000
4103100230111230
51130211034040
652022024300
711002445634
oct2320542554
9745040800
10323143020
11156451152
1290278090
1351c419b5
1430cb96c4
151d581130
hex1342c56c

323143020 has 120 divisors (see below), whose sum is σ = 1021197408. Its totient is φ = 85536000.

The previous prime is 323143019. The next prime is 323143061. The reversal of 323143020 is 20341323.

323143020 is a `hidden beast` number, since 3 + 231 + 430 + 2 + 0 = 666.

It is a super-2 number, since 2×3231430202 = 208842822749440800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 323142984 and 323143002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243960 + ... + 245280.

Almost surely, 2323143020 is an apocalyptic number.

323143020 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 323143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510598704).

323143020 is an abundant number, since it is smaller than the sum of its proper divisors (698054388).

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

323143020 is a wasteful number, since it uses less digits than its factorization.

323143020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 323143020 is about 17976.1792380917. The cubic root of 323143020 is about 686.2224570151. Note that the first 3 decimals are identical.

Adding to 323143020 its reverse (20341323), we get a palindrome (343484343).

The spelling of 323143020 in words is "three hundred twenty-three million, one hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 151 162 180 270 302 324 405 453 540 604 755 810 906 1321 1359 1510 1620 1812 2265 2642 2718 3020 3963 4077 4530 5284 5436 6605 6795 7926 8154 9060 11889 12231 13210 13590 15852 16308 19815 20385 23778 24462 26420 27180 35667 39630 40770 47556 48924 59445 61155 71334 79260 81540 107001 118890 122310 142668 178335 199471 214002 237780 244620 356670 398942 428004 535005 598413 713340 797884 997355 1070010 1196826 1795239 1994710 2140020 2393652 2992065 3590478 3989420 5385717 5984130 7180956 8976195 10771434 11968260 16157151 17952390 21542868 26928585 32314302 35904780 53857170 64628604 80785755 107714340 161571510 323143020