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2129344 = 267397
BaseRepresentation
bin1000000111110111000000
311000011220121
420013313000
51021114334
6113350024
724046000
oct10076700
94004817
102129344
111224898
12868314
13597289
143d6000
152c0db4
hex207dc0

2129344 has 56 divisors (see below), whose sum is σ = 4978400. Its totient is φ = 903168.

The previous prime is 2129333. The next prime is 2129353. The reversal of 2129344 is 4439212.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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, 21904 + ... + 22000.

It is an arithmetic number, because the mean of its divisors is an integer number (88900).

22129344 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 2129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489200).

2129344 is an abundant number, since it is smaller than the sum of its proper divisors (2849056).

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

2129344 is an frugal number, since it uses more digits than its factorization.

2129344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 2129344 is about 1459.2271927291. The cubic root of 2129344 is about 128.6516249818.

The spelling of 2129344 in words is "two million, one hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 97 98 112 194 196 224 343 388 392 448 679 686 776 784 1358 1372 1552 1568 2716 2744 3104 3136 4753 5432 5488 6208 9506 10864 10976 19012 21728 21952 33271 38024 43456 66542 76048 133084 152096 266168 304192 532336 1064672 2129344