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2142378 = 23273347
BaseRepresentation
bin1000001011000010101010
311000211210100
420023002222
51022024003
6113530230
724132000
oct10130252
94024710
102142378
111233667
12873976
135a01a4
143daa70
152c4ba3
hex20b0aa

2142378 has 48 divisors (see below), whose sum is σ = 5428800. Its totient is φ = 610344.

The previous prime is 2142377. The next prime is 2142397. The reversal of 2142378 is 8732412.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2142377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6001 + ... + 6347.

It is an arithmetic number, because the mean of its divisors is an integer number (113100).

22142378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714400).

2142378 is an abundant number, since it is smaller than the sum of its proper divisors (3286422).

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

2142378 is a wasteful number, since it uses less digits than its factorization.

2142378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2142378 is about 1463.6864418310. The cubic root of 2142378 is about 128.9135891469.

The spelling of 2142378 in words is "two million, one hundred forty-two thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 347 441 686 694 882 1029 1041 2058 2082 2429 3087 3123 4858 6174 6246 7287 14574 17003 21861 34006 43722 51009 102018 119021 153027 238042 306054 357063 714126 1071189 2142378