Search a number
-
+
320254052300 = 2252713237114843
BaseRepresentation
bin1001010100100001010…
…00010000011111001100
31010121122001111111020022
410222100220100133030
520221340014133200
6403042255441312
732065123346450
oct4522050203714
91117561444208
10320254052300
111139010775a6
1252098526238
132427a037540
141170107a660
1584e58ae885
hex4a90a107cc

320254052300 has 144 divisors (see below), whose sum is σ = 855743062272. Its totient is φ = 101305555200.

The previous prime is 320254052257. The next prime is 320254052323. The reversal of 320254052300 is 3250452023.

It is a super-2 number, since 2×3202540523002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 320254052300.

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, 21568679 + ... + 21583521.

Almost surely, 2320254052300 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 320254052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427871531136).

320254052300 is an abundant number, since it is smaller than the sum of its proper divisors (535489009972).

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

320254052300 is a wasteful number, since it uses less digits than its factorization.

320254052300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17248 (or 17241 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The spelling of 320254052300 in words is "three hundred twenty billion, two hundred fifty-four million, fifty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 2371 4550 4742 9100 9484 11855 14843 16597 23710 29686 30823 33194 47420 59275 59372 61646 66388 74215 82985 103901 118550 123292 148430 154115 165970 192959 207802 215761 237100 296860 308230 331940 371075 385918 414925 415604 431522 519505 616460 742150 770575 771836 829850 863044 964795 1039010 1078805 1350713 1484300 1541150 1659700 1929590 2078020 2157610 2597525 2701426 3082300 3859180 4315220 4823975 5195050 5394025 5402852 6753565 9647950 10390100 10788050 13507130 19295900 21576100 27014260 33767825 35192753 67535650 70385506 135071300 140771012 175963765 246349271 351927530 457505789 492698542 703855060 879818825 915011578 985397084 1231746355 1759637650 1830023156 2287528945 2463492710 3202540523 3519275300 4575057890 4926985420 6158731775 6405081046 9150115780 11437644725 12317463550 12810162092 16012702615 22875289450 24634927100 32025405230 45750578900 64050810460 80063513075 160127026150 320254052300