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2142340 = 225176301
BaseRepresentation
bin1000001011000010000100
311000211201221
420023002010
51022023330
6113530124
724131614
oct10130204
94024657
102142340
111233632
12873944
135a0175
143daa44
152c4b7a
hex20b084

2142340 has 24 divisors (see below), whose sum is σ = 4764312. Its totient is φ = 806400.

The previous prime is 2142299. The next prime is 2142341. The reversal of 2142340 is 432412.

It can be written as a sum of positive squares in 4 ways, for example, as 544644 + 1597696 = 738^2 + 1264^2 .

It is not an unprimeable number, because it can be changed into a prime (2142341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2811 + ... + 3490.

It is an arithmetic number, because the mean of its divisors is an integer number (198513).

22142340 is an apocalyptic number.

2142340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142340 is an abundant number, since it is smaller than the sum of its proper divisors (2621972).

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

2142340 is a wasteful number, since it uses less digits than its factorization.

2142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2142340 is about 1463.6734608512. The cubic root of 2142340 is about 128.9128269494.

Adding to 2142340 its reverse (432412), we get a palindrome (2574752).

The spelling of 2142340 in words is "two million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 6301 12602 25204 31505 63010 107117 126020 214234 428468 535585 1071170 2142340