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2341112000 = 26532910091
BaseRepresentation
bin1000101110001010…
…1000100011000000
320001011012210220212
42023202220203000
514243311041000
61024150053252
7112005060263
oct21342504300
96034183825
102341112000
11aa1551107
1255404a228
132b403ab96
14182cd0cda
15da7e2c35
hex8b8a88c0

2341112000 has 112 divisors (see below), whose sum is σ = 5998281120. Its totient is φ = 904064000.

The previous prime is 2341111987. The next prime is 2341112009. The reversal of 2341112000 is 2111432.

It is not an unprimeable number, because it can be changed into a prime (2341112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226955 + ... + 237045.

Almost surely, 22341112000 is an apocalyptic number.

2341112000 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 2341112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999140560).

2341112000 is an abundant number, since it is smaller than the sum of its proper divisors (3657169120).

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

2341112000 is a wasteful number, since it uses less digits than its factorization.

2341112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10147 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2341112000 is about 48385.0390100080. The cubic root of 2341112000 is about 1327.8246611299.

Adding to 2341112000 its reverse (2111432), we get a palindrome (2343223432).

The spelling of 2341112000 in words is "two billion, three hundred forty-one million, one hundred twelve 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 10091 11600 14500 20182 23200 29000 40364 46400 50455 58000 80728 100910 116000 161456 201820 232000 252275 292639 322912 403640 504550 585278 645824 807280 1009100 1170556 1261375 1463195 1614560 2018200 2341112 2522750 2926390 3229120 4036400 4682224 5045500 5852780 7315975 8072800 9364448 10091000 11705560 14631950 16145600 18728896 20182000 23411120 29263900 36579875 40364000 46822240 58527800 73159750 80728000 93644480 117055600 146319500 234111200 292639000 468222400 585278000 1170556000 2341112000