Search a number
-
+
349480791960 = 233578713612719
BaseRepresentation
bin1010001010111101010…
…11011010111110011000
31020102001220202200211120
411011132223122332120
521211214040320320
6424314350125240
734151313501126
oct5053653327630
91212056680746
10349480791960
111252398836a3
12578944b0820
1326c5714c731
1412cb491a916
159156694440
hex515eadaf98

349480791960 has 128 divisors (see below), whose sum is σ = 1050932275200. Its totient is φ = 92973864960.

The previous prime is 349480791953. The next prime is 349480791977. The reversal of 349480791960 is 69197084943.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 349480791894 and 349480791903.

It is a congruent number.

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, 128531481 + ... + 128534199.

It is an arithmetic number, because the mean of its divisors is an integer number (8210408400).

Almost surely, 2349480791960 is an apocalyptic number.

349480791960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349480791960 is an abundant number, since it is smaller than the sum of its proper divisors (701451483240).

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

349480791960 is a wasteful number, since it uses less digits than its factorization.

349480791960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 349480791960 in words is "three hundred forty-nine billion, four hundred eighty million, seven hundred ninety-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 787 1361 1574 2361 2719 2722 3148 3935 4083 4722 5438 5444 6296 6805 7870 8157 8166 9444 10876 10888 11805 13595 13610 15740 16314 16332 18888 20415 21752 23610 27190 27220 31480 32628 32664 40785 40830 47220 54380 54440 65256 81570 81660 94440 108760 163140 163320 326280 1071107 2139853 2142214 3213321 3700559 4279706 4284428 5355535 6419559 6426642 7401118 8559412 8568856 10699265 10711070 11101677 12839118 12853284 14802236 16066605 17118824 18502795 21398530 21422140 22203354 25678236 25706568 29604472 32097795 32133210 37005590 42797060 42844280 44406708 51356472 55508385 64195590 64266420 74011180 85594120 88813416 111016770 128391180 128532840 148022360 222033540 256782360 444067080 2912339933 5824679866 8737019799 11649359732 14561699665 17474039598 23298719464 29123399330 34948079196 43685098995 58246798660 69896158392 87370197990 116493597320 174740395980 349480791960