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3422421200 = 2452115691367
BaseRepresentation
bin1100101111111110…
…0000000011010000
322211111220000021202
43023333200003100
524002114434300
61323334210332
7150545046242
oct31377400320
98744800252
103422421200
1114a695a780
127b61b39a8
13427076303
14246766092
151506d5ad5
hexcbfe00d0

3422421200 has 120 divisors (see below), whose sum is σ = 8992192320. Its totient is φ = 1241420800.

The previous prime is 3422421161. The next prime is 3422421203. The reversal of 3422421200 is 21242243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422421203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2502917 + ... + 2504283.

It is an arithmetic number, because the mean of its divisors is an integer number (74934936).

Almost surely, 23422421200 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 3422421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496096160).

3422421200 is an abundant number, since it is smaller than the sum of its proper divisors (5569771120).

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

3422421200 is a wasteful number, since it uses less digits than its factorization.

3422421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3422421200 is about 58501.4632295638. The cubic root of 3422421200 is about 1506.9927136109.

Adding to 3422421200 its reverse (21242243), we get a palindrome (3443663443).

The spelling of 3422421200 in words is "three billion, four hundred twenty-two million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 569 880 1100 1138 1367 2200 2276 2734 2845 4400 4552 5468 5690 6259 6835 9104 10936 11380 12518 13670 14225 15037 21872 22760 25036 27340 28450 30074 31295 34175 45520 50072 54680 56900 60148 62590 68350 75185 100144 109360 113800 120296 125180 136700 150370 156475 227600 240592 250360 273400 300740 312950 375925 500720 546800 601480 625900 751850 777823 1202960 1251800 1503700 1555646 2503600 3007400 3111292 3889115 6014800 6222584 7778230 8556053 12445168 15556460 17112106 19445575 31112920 34224212 38891150 42780265 62225840 68448424 77782300 85560530 136896848 155564600 171121060 213901325 311129200 342242120 427802650 684484240 855605300 1711210600 3422421200