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343303020 = 2232519372713
BaseRepresentation
bin10100011101100…
…110001101101100
3212220222121012200
4110131212031230
51200341144040
654022101500
711336012304
oct2435461554
9786877180
10343303020
11166870705
1296b7a890
135617cba8
1433846604
1520214630
hex1476636c

343303020 has 144 divisors (see below), whose sum is σ = 1126201440. Its totient is φ = 84354048.

The previous prime is 343303007. The next prime is 343303027. The reversal of 343303020 is 20303343.

343303020 is a `hidden beast` number, since 34 + 330 + 302 + 0 = 666.

It is a super-2 number, since 2×3433030202 = 235713927082240800, 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 = 343302984 and 343303002.

It is not an unprimeable number, because it can be changed into a prime (343303027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125184 + ... + 127896.

Almost surely, 2343303020 is an apocalyptic number.

343303020 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 343303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563100720).

343303020 is an abundant number, since it is smaller than the sum of its proper divisors (782898420).

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

343303020 is a wasteful number, since it uses less digits than its factorization.

343303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 343303020 is about 18528.4381424879. The cubic root of 343303020 is about 700.2060753812.

Adding to 343303020 its reverse (20303343), we get a palindrome (363606363).

The spelling of 343303020 in words is "three hundred forty-three million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 285 333 342 370 380 444 555 570 666 684 703 740 855 1110 1140 1332 1406 1665 1710 2109 2220 2713 2812 3330 3420 3515 4218 5426 6327 6660 7030 8139 8436 10545 10852 12654 13565 14060 16278 21090 24417 25308 27130 31635 32556 40695 42180 48834 51547 54260 63270 81390 97668 100381 103094 122085 126540 154641 162780 200762 206188 244170 257735 301143 309282 401524 463923 488340 501905 515470 602286 618564 773205 903429 927846 1003810 1030940 1204572 1505715 1546410 1806858 1855692 1907239 2007620 2319615 3011430 3092820 3613716 3814478 4517145 4639230 5721717 6022860 7628956 9034290 9278460 9536195 11443434 17165151 18068580 19072390 22886868 28608585 34330302 38144780 57217170 68660604 85825755 114434340 171651510 343303020