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320424000204 = 2237112113164117
BaseRepresentation
bin1001010100110101100…
…00100011101011001100
31010122001220021201221010
410222122300203223030
520222212021001304
6403111210205220
732102256030420
oct4523260435314
91118056251833
10320424000204
11113988aa3a10
1252125423810
13242a62cbc29
1411719878b80
15850577e789
hex4a9ac23acc

320424000204 has 96 divisors (see below), whose sum is σ = 932589374976. Its totient is φ = 83187118080.

The previous prime is 320424000199. The next prime is 320424000241. The reversal of 320424000204 is 402000424023.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1870354 + ... + 2034470.

It is an arithmetic number, because the mean of its divisors is an integer number (9714472656).

Almost surely, 2320424000204 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 320424000204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466294687488).

320424000204 is an abundant number, since it is smaller than the sum of its proper divisors (612165374772).

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

320424000204 is a wasteful number, since it uses less digits than its factorization.

320424000204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166255 (or 166253 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 320424000204 its reverse (402000424023), we get a palindrome (722424424227).

The spelling of 320424000204 in words is "three hundred twenty billion, four hundred twenty-four million, two hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2113 4226 6339 8452 12678 14791 23243 25356 29582 44373 46486 59164 69729 88746 92972 139458 162701 164117 177492 278916 325402 328234 488103 492351 650804 656468 976206 984702 1148819 1805287 1952412 1969404 2297638 3446457 3610574 4595276 5415861 6892914 7221148 10831722 12637009 13785828 21663444 25274018 37911027 50548036 75822054 151644108 346779221 693558442 1040337663 1387116884 2080675326 2427454547 3814571431 4161350652 4854909094 7282363641 7629142862 9709818188 11443714293 14564727282 15258285724 22887428586 26702000017 29129454564 45774857172 53404000034 80106000051 106808000068 160212000102 320424000204