Search a number
-
+
3432441320 = 2357111975657
BaseRepresentation
bin1100110010010110…
…1110010111101000
322212012202002022022
43030211232113220
524012201110240
61324333044012
7151026161360
oct31445562750
98765662268
103432441320
111501583a70
127b9626608
13429174089
14247c139a0
151515149b5
hexcc96e5e8

3432441320 has 128 divisors (see below), whose sum is σ = 9679253760. Its totient is φ = 1064232960.

The previous prime is 3432441307. The next prime is 3432441359. The reversal of 3432441320 is 231442343.

It is a self number, because there is not a number n which added to its sum of digits gives 3432441320.

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 31 ways as a sum of consecutive naturals, for example, 603932 + ... + 609588.

It is an arithmetic number, because the mean of its divisors is an integer number (75619170).

Almost surely, 23432441320 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 3432441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839626880).

3432441320 is an abundant number, since it is smaller than the sum of its proper divisors (6246812440).

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

3432441320 is a wasteful number, since it uses less digits than its factorization.

3432441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3432441320 is about 58587.0405465236. The cubic root of 3432441320 is about 1508.4619984731.

Adding to 3432441320 its reverse (231442343), we get a palindrome (3663883663).

The spelling of 3432441320 in words is "three billion, four hundred thirty-two million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 197 220 280 308 385 394 440 616 770 788 985 1379 1540 1576 1970 2167 2758 3080 3940 4334 5516 5657 6895 7880 8668 10835 11032 11314 13790 15169 17336 21670 22628 27580 28285 30338 39599 43340 45256 55160 56570 60676 62227 75845 79198 86680 113140 121352 124454 151690 158396 197995 226280 248908 303380 311135 316792 395990 435589 497816 606760 622270 791980 871178 1114429 1244540 1583960 1742356 2177945 2228858 2489080 3484712 4355890 4457716 5572145 7801003 8711780 8915432 11144290 12258719 15602006 17423560 22288580 24517438 31204012 39005015 44577160 49034876 61293595 62408024 78010030 85811033 98069752 122587190 156020060 171622066 245174380 312040120 343244132 429055165 490348760 686488264 858110330 1716220660 3432441320