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321304020 = 223523253191
BaseRepresentation
bin10011001001101…
…011010111010100
3211101120221020220
4103021223113110
51124223212040
651514354340
710651016262
oct2311532724
9741527226
10321304020
11155405514
128b72b9b0
135174992b
143095b432
151d31b2d0
hex1326b5d4

321304020 has 144 divisors (see below), whose sum is σ = 963228672. Its totient is φ = 79988480.

The previous prime is 321304013. The next prime is 321304033. The reversal of 321304020 is 20403123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682125 + ... + 1682315.

It is an arithmetic number, because the mean of its divisors is an integer number (6689088).

Almost surely, 2321304020 is an apocalyptic number.

321304020 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 321304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481614336).

321304020 is an abundant number, since it is smaller than the sum of its proper divisors (641924652).

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

321304020 is a wasteful number, since it uses less digits than its factorization.

321304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 321304020 is about 17924.9552300696. The cubic root of 321304020 is about 684.9182206525.

Adding to 321304020 its reverse (20403123), we get a palindrome (341707143).

The spelling of 321304020 in words is "three hundred twenty-one million, three hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 53 60 69 92 106 115 138 159 191 212 230 265 276 318 345 382 460 529 530 573 636 690 764 795 955 1058 1060 1146 1219 1380 1587 1590 1910 2116 2292 2438 2645 2865 3174 3180 3657 3820 4393 4876 5290 5730 6095 6348 7314 7935 8786 10123 10580 11460 12190 13179 14628 15870 17572 18285 20246 21965 24380 26358 28037 30369 31740 36570 40492 43930 50615 52716 56074 60738 65895 73140 84111 87860 101039 101230 112148 121476 131790 140185 151845 168222 202078 202460 232829 263580 280370 303117 303690 336444 404156 420555 465658 505195 560740 606234 607380 698487 841110 931316 1010390 1164145 1212468 1396974 1515585 1682220 2020780 2328290 2793948 3031170 3492435 4656580 5355067 6062340 6984870 10710134 13969740 16065201 21420268 26775335 32130402 53550670 64260804 80326005 107101340 160652010 321304020