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2101344 = 25375359
BaseRepresentation
bin1000000001000001100000
310221202111120
420001001200
51014220334
6113012240
723601240
oct10010140
93852446
102101344
111205853
12854080
135875cb
143c9b20
152b7949
hex201060

2101344 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 579072.

The previous prime is 2101327. The next prime is 2101357. The reversal of 2101344 is 4431012.

2101344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35587 + ... + 35645.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22101344 is an apocalyptic number.

2101344 is a gapful number since it is divisible by the number (24) 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 2101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2101344 is an abundant number, since it is smaller than the sum of its proper divisors (4430496).

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

2101344 is a wasteful number, since it uses less digits than its factorization.

2101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2101344 is about 1449.6013245027. The cubic root of 2101344 is about 128.0852296949.

Adding to 2101344 its reverse (4431012), we get a palindrome (6532356).

The spelling of 2101344 in words is "two million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 59 84 96 106 112 118 159 168 177 212 224 236 318 336 354 371 413 424 472 636 672 708 742 826 848 944 1113 1239 1272 1416 1484 1652 1696 1888 2226 2478 2544 2832 2968 3127 3304 4452 4956 5088 5664 5936 6254 6608 8904 9381 9912 11872 12508 13216 17808 18762 19824 21889 25016 35616 37524 39648 43778 50032 65667 75048 87556 100064 131334 150096 175112 262668 300192 350224 525336 700448 1050672 2101344