Search a number
-
+
340573572020 = 225112293480317
BaseRepresentation
bin1001111010010111100…
…01000100101110110100
31012120002011021001010202
410331023301010232310
521034443313301040
6420242441340032
733414505411643
oct4751361045664
91176064231122
10340573572020
111214889a2500
1256009497618
13261679858a6
14126ab97735a
158cd46e3015
hex4f4bc44bb4

340573572020 has 72 divisors (see below), whose sum is σ = 788818566312. Its totient is φ = 123421999360.

The previous prime is 340573571999. The next prime is 340573572137. The reversal of 340573572020 is 20275375043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 114800347684 + 225773224336 = 338822^2 + 475156^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468902 + ... + 949218.

It is an arithmetic number, because the mean of its divisors is an integer number (10955813421).

Almost surely, 2340573572020 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 340573572020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394409283156).

340573572020 is an abundant number, since it is smaller than the sum of its proper divisors (448244994292).

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

340573572020 is a wasteful number, since it uses less digits than its factorization.

340573572020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480641 (or 480628 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 38.

The spelling of 340573572020 in words is "three hundred forty billion, five hundred seventy-three million, five hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 293 484 586 605 1172 1210 1465 2420 2930 3223 5860 6446 12892 16115 32230 35453 64460 70906 141812 177265 354530 480317 709060 960634 1921268 2401585 4803170 5283487 9606340 10566974 21133948 26417435 52834870 58118357 105669740 116236714 140732881 232473428 281465762 290591785 562931524 581183570 703664405 1162367140 1407328810 1548061691 2814657620 3096123382 6192246764 7740308455 15480616910 17028678601 30961233820 34057357202 68114714404 85143393005 170286786010 340573572020