Search a number
-
+
2146210344 = 23343312053
BaseRepresentation
bin111111111101100…
…1001001000101000
312112120110210010000
41333323021020220
513343412212334
6552544423000
7104120326005
oct17773111050
95476423100
102146210344
11a01530663
124ba917a60
1328284a365
141650788ac
15c8644299
hex7fec9228

2146210344 has 40 divisors (see below), whose sum is σ = 6011378010. Its totient is φ = 715403232.

The previous prime is 2146210333. The next prime is 2146210351. The reversal of 2146210344 is 4430126412.

It is a happy number.

2146210344 is a `hidden beast` number, since 2 + 1 + 4 + 621 + 0 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2121707844 + 24502500 = 46062^2 + 4950^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 9 ways as a sum of consecutive naturals, for example, 1655379 + ... + 1656674.

Almost surely, 22146210344 is an apocalyptic number.

2146210344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2146210344 is an abundant number, since it is smaller than the sum of its proper divisors (3865167666).

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

2146210344 is a wasteful number, since it uses less digits than its factorization.

2146210344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312071 (or 3312058 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2146210344 is about 46327.2095425572. The cubic root of 2146210344 is about 1289.9041140195.

Adding to 2146210344 its reverse (4430126412), we get a palindrome (6576336756).

The spelling of 2146210344 in words is "two billion, one hundred forty-six million, two hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3312053 6624106 9936159 13248212 19872318 26496424 29808477 39744636 59616954 79489272 89425431 119233908 178850862 238467816 268276293 357701724 536552586 715403448 1073105172 2146210344