Search a number
-
+
3043200413304 = 23322313211391129
BaseRepresentation
bin101100010010001100111…
…000010010111001111000
3101202221000212110122122200
4230102030320102321320
5344324433301211204
610250005454150200
7432602225465652
oct54221470227170
911687025418580
103043200413304
11a7368332a697
124119617b2360
13190c8496713c
14a74125596d2
15542621ab539
hex2c48ce12e78

3043200413304 has 96 divisors (see below), whose sum is σ = 8606865664800. Its totient is φ = 969560570880.

The previous prime is 3043200413299. The next prime is 3043200413347. The reversal of 3043200413304 is 4033140023403.

3043200413304 is a `hidden beast` number, since 3 + 0 + 4 + 320 + 0 + 4 + 1 + 330 + 4 = 666.

It is a super-2 number, since 2×30432004133042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1492012 + ... + 2883140.

It is an arithmetic number, because the mean of its divisors is an integer number (89654850675).

Almost surely, 23043200413304 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 3043200413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303432832400).

3043200413304 is an abundant number, since it is smaller than the sum of its proper divisors (5563665251496).

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

3043200413304 is a wasteful number, since it uses less digits than its factorization.

3043200413304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392485 (or 1392478 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3043200413304 its reverse (4033140023403), we get a palindrome (7076340436707).

The spelling of 3043200413304 in words is "three trillion, forty-three billion, two hundred million, four hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1321 1656 2642 3963 5284 7926 10568 11889 15852 23778 30383 31704 47556 60766 91149 95112 121532 182298 243064 273447 364596 546894 729192 1093788 1391129 2187576 2782258 4173387 5564516 8346774 11129032 12520161 16693548 25040322 31995967 33387096 50080644 63991934 95987901 100161288 127983868 191975802 255967736 287963703 383951604 575927406 767903208 1151854812 1837681409 2303709624 3675362818 5513044227 7350725636 11026088454 14701451272 16539132681 22052176908 33078265362 42266672407 44104353816 66156530724 84533344814 126800017221 132313061448 169066689628 253600034442 338133379256 380400051663 507200068884 760800103326 1014400137768 1521600206652 3043200413304