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2126344 = 231173331
BaseRepresentation
bin1000000111001000001000
311000000210111
420013020020
51021020334
6113324104
724034153
oct10071010
94000714
102126344
111222610
12866634
13595abc
143d4c9a
152c0064
hex207208

2126344 has 32 divisors (see below), whose sum is σ = 4422240. Its totient is φ = 950400.

The previous prime is 2126339. The next prime is 2126351. The reversal of 2126344 is 4436212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 213 + 1 + 221 + 62 + 39 + 44 + 45 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6259 + ... + 6589.

It is an arithmetic number, because the mean of its divisors is an integer number (138195).

22126344 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 2126344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211120).

2126344 is an abundant number, since it is smaller than the sum of its proper divisors (2295896).

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

2126344 is a wasteful number, since it uses less digits than its factorization.

2126344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 2126344 is about 1458.1988890409. The cubic root of 2126344 is about 128.5911781537.

It can be divided in two parts, 212 and 6344, that added together give a palindrome (6556).

The spelling of 2126344 in words is "two million, one hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 331 584 662 803 1324 1606 2648 3212 3641 6424 7282 14564 24163 29128 48326 96652 193304 265793 531586 1063172 2126344