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3421304000 = 26532914747
BaseRepresentation
bin1100101111101100…
…1111010011000000
322211102210020202222
43023323033103000
524001323212000
61323254230212
7150532414142
oct31373172300
98742706688
103421304000
1114a6267374
127b5955368
13426a7494a
14246554c92
15150564a85
hexcbecf4c0

3421304000 has 112 divisors (see below), whose sum is σ = 8765621280. Its totient is φ = 1321241600.

The previous prime is 3421303961. The next prime is 3421304053. The reversal of 3421304000 is 4031243.

It is a self number, because there is not a number n which added to its sum of digits gives 3421304000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224627 + ... + 239373.

Almost surely, 23421304000 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 3421304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382810640).

3421304000 is an abundant number, since it is smaller than the sum of its proper divisors (5344317280).

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

3421304000 is a wasteful number, since it uses less digits than its factorization.

3421304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14803 (or 14783 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3421304000 is about 58491.9139710781. The cubic root of 3421304000 is about 1506.8287170919.

Adding to 3421304000 its reverse (4031243), we get a palindrome (3425335243).

The spelling of 3421304000 in words is "three billion, four hundred twenty-one million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 725 800 928 1000 1160 1450 1600 1856 2000 2320 2900 3625 4000 4640 5800 7250 8000 9280 11600 14500 14747 23200 29000 29494 46400 58000 58988 73735 116000 117976 147470 232000 235952 294940 368675 427663 471904 589880 737350 855326 943808 1179760 1474700 1710652 1843375 2138315 2359520 2949400 3421304 3686750 4276630 4719040 5898800 6842608 7373500 8553260 10691575 11797600 13685216 14747000 17106520 21383150 23595200 27370432 29494000 34213040 42766300 53457875 58988000 68426080 85532600 106915750 117976000 136852160 171065200 213831500 342130400 427663000 684260800 855326000 1710652000 3421304000