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2134144 = 2716673
BaseRepresentation
bin1000001001000010000000
311000102111101
420021002000
51021243034
6113424144
724065665
oct10110200
94012441
102134144
111228461
1286b054
1359950c
143d7a6c
152c2514
hex209080

2134144 has 16 divisors (see below), whose sum is σ = 4251870. Its totient is φ = 1067008.

The previous prime is 2134141. The next prime is 2134157. The reversal of 2134144 is 4414312.

2134144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1345600 + 788544 = 1160^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×21341442 = 9109141225472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8209 + ... + 8464.

22134144 is an apocalyptic number.

It is an amenable number.

2134144 is a deficient number, since it is larger than the sum of its proper divisors (2117726).

2134144 is an equidigital number, since it uses as much as digits as its factorization.

2134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16687 (or 16675 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 2134144 is about 1460.8709730842. The cubic root of 2134144 is about 128.7482219254.

Adding to 2134144 its reverse (4414312), we get a palindrome (6548456).

It can be divided in two parts, 2134 and 144, that added together give a triangular number (2278 = T67).

The spelling of 2134144 in words is "two million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 16673 33346 66692 133384 266768 533536 1067072 2134144