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2109346320 = 243529378191
BaseRepresentation
bin111110110111010…
…0001001000010000
312110000002220011210
41331232201020100
513304443040240
6545150340120
7103162101504
oct17556411020
95400086153
102109346320
11992742124
124aa4ba640
13278011023
14160200304
15c52b1780
hex7dba1210

2109346320 has 160 divisors (see below), whose sum is σ = 6948126720. Its totient is φ = 528353280.

The previous prime is 2109346303. The next prime is 2109346333. The reversal of 2109346320 is 236439012.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 253425 + ... + 261615.

It is an arithmetic number, because the mean of its divisors is an integer number (43425792).

Almost surely, 22109346320 is an apocalyptic number.

2109346320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474063360).

2109346320 is an abundant number, since it is smaller than the sum of its proper divisors (4838780400).

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

2109346320 is a wasteful number, since it uses less digits than its factorization.

2109346320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2109346320 is about 45927.6204478307. The cubic root of 2109346320 is about 1282.4761475829.

The spelling of 2109346320 in words is "two billion, one hundred nine million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 37 40 48 58 60 74 80 87 111 116 120 145 148 174 185 222 232 240 290 296 348 370 435 444 464 555 580 592 696 740 870 888 1073 1110 1160 1392 1480 1740 1776 2146 2220 2320 2960 3219 3480 4292 4440 5365 6438 6960 8191 8584 8880 10730 12876 16095 16382 17168 21460 24573 25752 32190 32764 40955 42920 49146 51504 64380 65528 81910 85840 98292 122865 128760 131056 163820 196584 237539 245730 257520 303067 327640 393168 475078 491460 606134 655280 712617 909201 950156 982920 1187695 1212268 1425234 1515335 1818402 1900312 1965840 2375390 2424536 2850468 3030670 3563085 3636804 3800624 4546005 4750780 4849072 5700936 6061340 7126170 7273608 8788943 9092010 9501560 11401872 12122680 14252340 14547216 17577886 18184020 19003120 24245360 26366829 28504680 35155772 36368040 43944715 52733658 57009360 70311544 72736080 87889430 105467316 131834145 140623088 175778860 210934632 263668290 351557720 421869264 527336580 703115440 1054673160 2109346320